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Physics Text Book 9th Class Urdu Medium

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Physics Text Book 9th Class Urdu Medium

Punjab Text Book Board offer a low cost books for Punjab Students including Physics Text Book for 9th Class Urdu Medium. Science Students who want to study in future should study this subject to understand the basics of Science.

Physics Text Book Urdu Medium:

Physics text Book is available on our website, where any Student can read or download free of Cost, as given below:

(DOWNLOAD IN PDF FORMAT)

Note: If you want other books, feel free to write us through comments or email address admin@eStudent.pk

Physics 9th Class Notes:

All types of  Notes like MCQs, Short Questions, Long Questions and Online Tests are available on our website (Click me for Physics Notes)

 

9th Class Text Books:

🔵 BIOLOGY

 English Medium

Urdu Medium

🔵 CHEMISTRY

English Medium

Urdu Medium

🔵 COMPUTER SCIENCE

English Medium (New Syllabus)

Urdu Medium (New Syllabus)

Practical Note Book (English Medium)

Practical Note Book (Urdu Medium)

🔵 ENGLISH

Text book (Old & New 2025-26)

English Grammar & Composition

🔵 EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

FOOD & NUTRITION (غذا اور غذائیت)

Urdu Medium

HEALTH & PHY EDUCATION (صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH GENERAL (آرٹس گروپ)

Urdu Medium

English Medium

MATH (Science)

English Medium

Urdu Medium

PHYSICS:

English Medium

Urdu Medium

PAKISTAN STUDIES

Urdu Medium

English Medium

PUNJABI (پنجابی)

Text Book

TARJUMA TUL QURAN (ترجمۃ القرآن)

Text Book

TEXTILE & CLOTHING (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book (Old & New 25-26)

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

Urdu Medium

COMPUTER SCIENCE 

English Medium

Urdu Medium

Computer Practical Book

English Medium

Urdu Medium

CHEMISTRY

English Medium

Urdu Medium

ENGLISH

Text Book

English Grammar & Composition

EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

GENERAL MATH (آرٹس گروپ)

Urdu Medium

English Medium

FOOD & NUTRITION (غذا اور غذایات)

Urdu Medium

HEALTH & PHY EDUCATION(صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES (Compulsory)

Urdu Medium

MATH (Science)

English Medium

Urdu Medium

Pakistan Studies

English Medium

Urdu Medium

PHYSICS

English Medium

Urdu Medium

PUNJABI (پنجابی)

Textbook

TARJUMA TUL QURAN

Urdu Medium

Textile & Clothing (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

CHEMISTRY

English Medium

COMPUTER SCIENCE

English Medium

CIVICS (علم شہریت)

Urdu Medium

ECONOMICS

Urdu Medium

ENGLISH

Book 1 

Book 3

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI (فارسی)

Text Book

GEOGRAPHY (طبعی جغرافیہ)

Urdu Medium

Work book

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم )

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH

English Medium

PHYSICS

English Medium

PSYCHOLOGY (نفسیات)

Urdu Medium

PUNJABI (پنجابی ادب خزینے)

Text Book

STATICICS

English Medium

Tarjama tul Quran (ترجمعۃ القرآن)

Text Book

URDU

Text Book

URDU SELECTIVE (مرقع اردو)

Text Book

BIOLOGY

English Medium

CIVICS ( علم شہریت )

Urdu Medium

CHEMISTRY

English Medium

COMPUTER

English Medium

ECONOMICS ( اکنامکس )

Urdu Medium

ENGLISH

English Book II

Novel: Goodbye Mr. Chips

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI ( فارسی )

Textbook

GEOGRAPHY (جغرافیہ)

Workbook

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم)

Urdu Medium

MATH

English Medium

MANTAQ

Textbook

PAKISTAN STUDIES ( مطالعہ پاکستان )

English Medium

Urdu Medium

PSYCHOLOGY

Urdu Medium

PHYSICS

English Medium

PUNJABI

Textbook

STATISTICS

English Medium

URDU

Textbook

ENGLISH

Text Book 2

Coming Soon

if you want to download Physics Text Book, and Physics book class 9 pdf our website is available for and students can take the benefit with Notes and Physics Text Book Urdu Medium. Teacher and Students can take the benefit of Physics 9th class book pdf download in urdu, Physics book class 9 in Urdu, new Physics book for class 9 Punjab text board pdf notes, class 9 Physics book Punjab board. English Medium book of Physics is also available on our website with keywords as physics class 9 textbook pdf 2025, Physics, new books, 2025,. 

 

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Physics Text Book 9th Class English Medium

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[post-views]

Physics Text Book 9th Class English Medium

Punjab Text Book Board offer a low cost books for Punjab Students including Physics Text Book for 9th Class English Medium and Urdu Medium. Science Students who want to study medical or engineering in future should study this subject to understand the basics of Science. any Student can avail the facility of 9th class Physics book pdf free download

Physics Text Book English Medium:

Physics text Book is available on our website, where any Student can read or download free of Cost, as given below:

🔗 New Version 2025-26

(DOWNLOAD IN PDF FORMAT)

 

Old Version:

(DOWNLOAD IN PDF FORMAT)

Note: If you want other books, feel free to write us through comments or email address admin@eStudent.pk

Physics 9th Class Notes:

All types of  Notes like MCQs, Short Questions, Long Questions and Online Tests are available on our website (Click me for Physics Notes)

 

9th Class Text Books:

🔵 BIOLOGY

 English Medium

Urdu Medium

🔵 CHEMISTRY

English Medium

Urdu Medium

🔵 COMPUTER SCIENCE

English Medium (New Syllabus)

Urdu Medium (New Syllabus)

Practical Note Book (English Medium)

Practical Note Book (Urdu Medium)

🔵 ENGLISH

Text book (Old & New 2025-26)

English Grammar & Composition

🔵 EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

FOOD & NUTRITION (غذا اور غذائیت)

Urdu Medium

HEALTH & PHY EDUCATION (صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH GENERAL (آرٹس گروپ)

Urdu Medium

English Medium

MATH (Science)

English Medium

Urdu Medium

PHYSICS:

English Medium

Urdu Medium

PAKISTAN STUDIES

Urdu Medium

English Medium

PUNJABI (پنجابی)

Text Book

TARJUMA TUL QURAN (ترجمۃ القرآن)

Text Book

TEXTILE & CLOTHING (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book (Old & New 25-26)

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

Urdu Medium

COMPUTER SCIENCE 

English Medium

Urdu Medium

Computer Practical Book

English Medium

Urdu Medium

CHEMISTRY

English Medium

Urdu Medium

ENGLISH

Text Book

English Grammar & Composition

EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

GENERAL MATH (آرٹس گروپ)

Urdu Medium

English Medium

FOOD & NUTRITION (غذا اور غذایات)

Urdu Medium

HEALTH & PHY EDUCATION(صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES (Compulsory)

Urdu Medium

MATH (Science)

English Medium

Urdu Medium

Pakistan Studies

English Medium

Urdu Medium

PHYSICS

English Medium

Urdu Medium

PUNJABI (پنجابی)

Textbook

TARJUMA TUL QURAN

Urdu Medium

Textile & Clothing (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

CHEMISTRY

English Medium

COMPUTER SCIENCE

English Medium

CIVICS (علم شہریت)

Urdu Medium

ECONOMICS

Urdu Medium

ENGLISH

Book 1 

Book 3

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI (فارسی)

Text Book

GEOGRAPHY (طبعی جغرافیہ)

Urdu Medium

Work book

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم )

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH

English Medium

PHYSICS

English Medium

PSYCHOLOGY (نفسیات)

Urdu Medium

PUNJABI (پنجابی ادب خزینے)

Text Book

STATICICS

English Medium

Tarjama tul Quran (ترجمعۃ القرآن)

Text Book

URDU

Text Book

URDU SELECTIVE (مرقع اردو)

Text Book

BIOLOGY

English Medium

CIVICS ( علم شہریت )

Urdu Medium

CHEMISTRY

English Medium

COMPUTER

English Medium

ECONOMICS ( اکنامکس )

Urdu Medium

ENGLISH

English Book II

Novel: Goodbye Mr. Chips

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI ( فارسی )

Textbook

GEOGRAPHY (جغرافیہ)

Workbook

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم)

Urdu Medium

MATH

English Medium

MANTAQ

Textbook

PAKISTAN STUDIES ( مطالعہ پاکستان )

English Medium

Urdu Medium

PSYCHOLOGY

Urdu Medium

PHYSICS

English Medium

PUNJABI

Textbook

STATISTICS

English Medium

URDU

Textbook

ENGLISH

Text Book 2

Coming Soon

if you want to download Physics Text Book, and Physics book class 9 pdf our website is available for and students can take the benefit with Notes and Physics Text Book English Medium. Teacher and Students can take the benefit of Physics 9th class book pdf download in urdu, Physics book class 9 in English, new Physics book for class 9 sindh text board pdf notes, class 9 Physics book sindh board will be upload on our website your can download it soon. 

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Biology Text Book 9th Class English Medium

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Biology Text Book 9th Class English Medium

Punjab Text Book Board offer a low cost books for Punjab Students including Biology Text Book for 9th Class English Medium and Urdu Medium. Science Students who want to study medical in future should study the Biology to understand the basics of Medical Science. any Student can avail the facility of 9th class biology book pdf free download

Biology Text Book English Medium:

Biology text Book is available on our website, where any Student can read or download free of Cost, as given below:

(DOWNLOAD IN PDF FORMAT)

Note: If you want other books, feel free to write us through comments or email address admin@eStudent.pk

Biology 9th Class Notes:

All types of  Notes like MCQs, Short Questions, Long Questions and Online Tests are available on our website 

9th Class Text Books:

🔵 BIOLOGY

 English Medium

Urdu Medium

🔵 CHEMISTRY

English Medium

Urdu Medium

🔵 COMPUTER SCIENCE

English Medium (New Syllabus)

Urdu Medium (New Syllabus)

Practical Note Book (English Medium)

Practical Note Book (Urdu Medium)

🔵 ENGLISH

Text book (Old & New 2025-26)

English Grammar & Composition

🔵 EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

FOOD & NUTRITION (غذا اور غذائیت)

Urdu Medium

HEALTH & PHY EDUCATION (صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH GENERAL (آرٹس گروپ)

Urdu Medium

English Medium

MATH (Science)

English Medium

Urdu Medium

PHYSICS:

English Medium

Urdu Medium

PAKISTAN STUDIES

Urdu Medium

English Medium

PUNJABI (پنجابی)

Text Book

TARJUMA TUL QURAN (ترجمۃ القرآن)

Text Book

TEXTILE & CLOTHING (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book (Old & New 25-26)

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

Urdu Medium

COMPUTER SCIENCE 

English Medium

Urdu Medium

Computer Practical Book

English Medium

Urdu Medium

CHEMISTRY

English Medium

Urdu Medium

ENGLISH

Text Book

English Grammar & Composition

EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

GENERAL MATH (آرٹس گروپ)

Urdu Medium

English Medium

FOOD & NUTRITION (غذا اور غذایات)

Urdu Medium

HEALTH & PHY EDUCATION(صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES (Compulsory)

Urdu Medium

MATH (Science)

English Medium

Urdu Medium

Pakistan Studies

English Medium

Urdu Medium

PHYSICS

English Medium

Urdu Medium

PUNJABI (پنجابی)

Textbook

TARJUMA TUL QURAN

Urdu Medium

Textile & Clothing (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

CHEMISTRY

English Medium

COMPUTER SCIENCE

English Medium

CIVICS (علم شہریت)

Urdu Medium

ECONOMICS

Urdu Medium

ENGLISH

Book 1 

Book 3

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI (فارسی)

Text Book

GEOGRAPHY (طبعی جغرافیہ)

Urdu Medium

Work book

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم )

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH

English Medium

PHYSICS

English Medium

PSYCHOLOGY (نفسیات)

Urdu Medium

PUNJABI (پنجابی ادب خزینے)

Text Book

STATICICS

English Medium

Tarjama tul Quran (ترجمعۃ القرآن)

Text Book

URDU

Text Book

URDU SELECTIVE (مرقع اردو)

Text Book

BIOLOGY

English Medium

CIVICS ( علم شہریت )

Urdu Medium

CHEMISTRY

English Medium

COMPUTER

English Medium

ECONOMICS ( اکنامکس )

Urdu Medium

ENGLISH

English Book II

Novel: Goodbye Mr. Chips

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI ( فارسی )

Textbook

GEOGRAPHY (جغرافیہ)

Workbook

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم)

Urdu Medium

MATH

English Medium

MANTAQ

Textbook

PAKISTAN STUDIES ( مطالعہ پاکستان )

English Medium

Urdu Medium

PSYCHOLOGY

Urdu Medium

PHYSICS

English Medium

PUNJABI

Textbook

STATISTICS

English Medium

URDU

Textbook

ENGLISH

Text Book 2

Coming Soon

if you want to download Biology Text Book, and biology book class 9 pdf our website is available for and students can take the benefit with Notes and Biology Text Book English Medium. Teacher and Students can take the benefit of biology 9th class book pdf download in urdu, biology book class 9 in urdu, new biology book for class 9 sindh text board pdf notes, class 9 biology book sindh board will be upload on our website your can download it soon. 

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Biology Text Book 9th Class Urdu Medium

by
Sharing is Caring
        
[post-views]

Biology Text Book 9th Class Urdu Medium

Punjab Text Book Board offer a low cost books for Punjab Students including Biology Text Book for 9th Class Urdu Medium and English Medium. Science Students who want to study medical in future should study the Biology to understand the basics of Medical Science. any Student can avail the facility of 9th class biology book Urdu medium pdf free download

Biology Text Book Urdu Medium:

Biology text Book is available on our website, where any Student can read or download free of Cost, as given below:

(DOWNLOAD IN PDF FORMAT)

Note: If you want other books, feel free to write us through comments or email address admin@eStudent.pk

Biology 9th Class Notes:

All types of  Notes like MCQs, Short Questions, Long Questions and Online Tests are available on our website (Click me for Biology Notes)

9th Class Text Books:

🔵 BIOLOGY

 English Medium

Urdu Medium

🔵 CHEMISTRY

English Medium

Urdu Medium

🔵 COMPUTER SCIENCE

English Medium (New Syllabus)

Urdu Medium (New Syllabus)

Practical Note Book (English Medium)

Practical Note Book (Urdu Medium)

🔵 ENGLISH

Text book (Old & New 2025-26)

English Grammar & Composition

🔵 EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

FOOD & NUTRITION (غذا اور غذائیت)

Urdu Medium

HEALTH & PHY EDUCATION (صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH GENERAL (آرٹس گروپ)

Urdu Medium

English Medium

MATH (Science)

English Medium

Urdu Medium

PHYSICS:

English Medium

Urdu Medium

PAKISTAN STUDIES

Urdu Medium

English Medium

PUNJABI (پنجابی)

Text Book

TARJUMA TUL QURAN (ترجمۃ القرآن)

Text Book

TEXTILE & CLOTHING (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book (Old & New 25-26)

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

Urdu Medium

COMPUTER SCIENCE 

English Medium

Urdu Medium

Computer Practical Book

English Medium

Urdu Medium

CHEMISTRY

English Medium

Urdu Medium

ENGLISH

Text Book

English Grammar & Composition

EDUCATION(مبادیات تعلیم)

Urdu Medium

ETHICS (اخلاقیات)

Urdu Medium

ECONOMICS (معاشیات)

English Medium

Urdu Medium

GENERAL MATH (آرٹس گروپ)

Urdu Medium

English Medium

FOOD & NUTRITION (غذا اور غذایات)

Urdu Medium

HEALTH & PHY EDUCATION(صحت و جسمانی تعلیم)

Urdu Medium

ISLAMIC STUDIES (Compulsory)

Urdu Medium

MATH (Science)

English Medium

Urdu Medium

Pakistan Studies

English Medium

Urdu Medium

PHYSICS

English Medium

Urdu Medium

PUNJABI (پنجابی)

Textbook

TARJUMA TUL QURAN

Urdu Medium

Textile & Clothing (پارچہ بافی اور لباس)

Urdu Medium

URDU

Text Book

Qawaid-o-Insha (قواعد و انشاء)

ZARAI TALEEM (زرعی تعلیم)

Urdu Medium

BIOLOGY

English Medium

CHEMISTRY

English Medium

COMPUTER SCIENCE

English Medium

CIVICS (علم شہریت)

Urdu Medium

ECONOMICS

Urdu Medium

ENGLISH

Book 1 

Book 3

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI (فارسی)

Text Book

GEOGRAPHY (طبعی جغرافیہ)

Urdu Medium

Work book

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم )

Urdu Medium

ISLAMIC STUDIES

Urdu Medium

MATH

English Medium

PHYSICS

English Medium

PSYCHOLOGY (نفسیات)

Urdu Medium

PUNJABI (پنجابی ادب خزینے)

Text Book

STATICICS

English Medium

Tarjama tul Quran (ترجمعۃ القرآن)

Text Book

URDU

Text Book

URDU SELECTIVE (مرقع اردو)

Text Book

BIOLOGY

English Medium

CIVICS ( علم شہریت )

Urdu Medium

CHEMISTRY

English Medium

COMPUTER

English Medium

ECONOMICS ( اکنامکس )

Urdu Medium

ENGLISH

English Book II

Novel: Goodbye Mr. Chips

Grammar & Composition

ETHICS ( اخلاقیات )

Urdu Medium

FARSI ( فارسی )

Textbook

GEOGRAPHY (جغرافیہ)

Workbook

HADIQA TUL ADAB (حدیقۃ الاداب)

Text Book

HEALTH & PHYSICAL EDU (صحت و تعلیم جسمانی)

Urdu Medium

ILM UL TALEEM ( علم التعلیم)

Urdu Medium

MATH

English Medium

MANTAQ

Textbook

PAKISTAN STUDIES ( مطالعہ پاکستان )

English Medium

Urdu Medium

PSYCHOLOGY

Urdu Medium

PHYSICS

English Medium

PUNJABI

Textbook

STATISTICS

English Medium

URDU

Textbook

ENGLISH

Text Book 2

Coming Soon

if you want to download Biology Text Book, and biology book class 9 pdf our website is available for and students can take the benefit with Notes and Biology Text Book Urdu Medium. Teacher and Students can take the benefit of biology 9th class book pdf download in urdu, biology book class 9 in urdu, new biology book for class 9 sindh text board pdf notes, class 9 biology book sindh board will be upload on our website your can download it soon. 

Mathematics Notes for 9th Class Exercise 6 Rev

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Mathematics Notes for 9th Class Exercise 6 Rev

“Math” a compulsory subject for 9th class Science students. and Mathematics Notes for 9th Class Exercise 6 Rev or Math Notes Class 9 English Medium (Science Group) included in this book.

Class 9th Math Solution:

The whole Summary of all Chapter as follow:

• We learned to find the H.C.F. and L.C.M. of algebraic expressions by the methods of factorization and division.
• We established a relation between H.C.F. and L.C.M. of two polynomials p(x) and q(x) given by the formula
         L .C.M. x H.C.F. = p(x) x q(x)
and used it to determine L.C.M. or H.C.F. etc.
• Any unknown expression may be found if three of them are known by using the relation
         L.C.M x H.C.F = p(x) x q(x)
• H.C.F. and L.C.M. are used to simplify fractional expressions involving basic operations of +, – , x , ÷.
• Determination of square root of algebraic expression by factorization and division methods has been defined and explained.

 

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You Should Enter your Name

1 / 17

Simplify \frac{a^3-b^3}{a^4-b^4} \div \frac{a^2+ab+b^2}{a^2+b^2} = ________

  • \frac{1}{a+b}
  • \frac{1}{a-b}
  • \frac{a-b}{a^2+b^2}
  • \frac{a+b}{a^2+b^2}

(Which option is Correct)

2 / 17

L.C.M of a^2+b^2 and a^4 - b^4 is _________

  1. a^2+b^2
  2. a^2-b^2
  3. a^4-b^4
  4. a-b

(Choose Correct Option)

3 / 17

H.C.F of 5x^{2} and 20 x^{3} y^{3} is ____________

  • 5x^{2}y^{2}
  • 20x^{3}y^{3}
  • 100x^{5}y^{5}
  • 5xy

(Select Correct Option)

4 / 17

the Square Root of a^2 - 2a + 1 is __________

5 / 17

H.C.F of x^2 - 5x+6 and x^2 - x-6 is _______

6 / 17

Simplify \frac{a^2 +5a-14}{a^2 - 3a-18} \times \frac{a+3}{a-2} = _________

  • \frac{a+7}{a-6}
  • \frac{a+7}{a-2}
  • \frac{a+3}{a-6}
  • \frac{a-2}{a+3}

(Choose Correct Option)

7 / 17

The product of two Algebraic expressions is equal to the ______ of their H.C.F and L.C.M

8 / 17

H.C.F of a^{3}+b^{3} and a^{2}-ab+b^{2} is ________

  1. a+b
  2. a^{2}-ab+b^{2}
  3. (a-b)^2
  4. a^2+b^2

(Chose Correct Option)

9 / 17

What should be added to complete the square of x^4 + 64 _____

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

10 / 17

Simplify \frac{a}{9a^2 - b^2} + \frac{1}{3a-b} = __________

  1. \frac{4a}{9a^2-b^2}
  2. \frac{4a-b}{9a^2-b^2}
  3. \frac{4a+b}{9a^2-b^2}
  4. \frac{b}{9a^2-b^2}

(Choose Correct Option)

11 / 17

H.C.F of x-2 and x^{2}+x-6 is ___________

  1. x^{2}+x-6
  2. x+3
  3. x-2
  4. x+2

(Chose Correct Option)

12 / 17

H.C.F of x^2 +3x+2 , x^2+4x+3 and x^2+5x+4 is __________

13 / 17

H.C.F of a^2 - b^2  and a^3 - b^3  is ________

  1. a -b
  2. a+b
  3. a^2 + ab+ b^2
  4. a^2 - ab+b^2

(Choose Correct Option)

14 / 17

Simplify \left ( \frac{2x+1}{x+y}-1 \right )\div \left ( 1-\frac{x}{x-y} \right ) = __________

  • \frac{x}{x+y}
  • \frac{y}{x+y}
  • \frac{y}{x}
  • \frac{x}{y}

Which Option is Correct

15 / 17

L.C.M of 15x^2 , 45xy , 30xyz is __________

  1. 90xyz
  2. 90x^2yz
  3. 15xyz
  4. 15x^2yz

(Choose Correct Option)

16 / 17

H. C. F of  ( p^{3}q-pq^{3} ) and ( p^{5}q^{2}-p^{2}q^{5} ) is ___________

  • pq(p^{2}-q^{2})
  • pq(p-q)
  • p^{2}q^{2} (p-q)
  • pq(p^{3}-q^{3})

(Select Correct Option)

17 / 17

The Square Root of x^4 + \frac{1}{x^4}+2 is ___________

  • \pm \left ( x + \frac{1}{x} \right )
  • \pm \left ( x^2 + \frac{1}{x^2} \right )
  • \pm \left ( x - \frac{1}{x} \right )
  • \pm \left ( x^2 - \frac{1}{x^2} \right )

Select Correct Option

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

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Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

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Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

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Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

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Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

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Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

class 9 maths notes pdf, class 9 maths notes chapter 1, 9th class math notes chapter 2, mathematics class 9 pdf, 9th class math solution pdf free download, class 9 maths notes chapter 3, class 9 maths notes chapter 4, maths class 9 notes punjab board,

Mathematics Notes for 9th Class Exercise 6.3

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Mathematics Notes for 9th Class Exercise 6.3

“Math” a compulsory subject for 9th class Science students. and Mathematics Notes for 9th Class Exercise 6.3 or Math Notes Class 9 English Medium (Science Group) included in this book.

How to Find Square Root of Algebraic Expression:

As with numbers define the square root of given expression p(x) as another expression q(x) such that q(x) . q(x) = p(x). As 5 # 5 = 25, so square root of 25 is 5.  It means we can find square root of the expression p(x) if it can be expressed as a perfect square.
In this section we shall find square root of an algebraic expression
(i) Square Root by factorization (ii) Square Root by division

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Math Ch#6, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 17

H.C.F of x-2 and x^{2}+x-6 is ___________

  1. x^{2}+x-6
  2. x+3
  3. x-2
  4. x+2

(Chose Correct Option)

2 / 17

The Square Root of x^4 + \frac{1}{x^4}+2 is ___________

  • \pm \left ( x + \frac{1}{x} \right )
  • \pm \left ( x^2 + \frac{1}{x^2} \right )
  • \pm \left ( x - \frac{1}{x} \right )
  • \pm \left ( x^2 - \frac{1}{x^2} \right )

Select Correct Option

3 / 17

What should be added to complete the square of x^4 + 64 _____

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

4 / 17

The product of two Algebraic expressions is equal to the ______ of their H.C.F and L.C.M

5 / 17

H.C.F of x^2 - 5x+6 and x^2 - x-6 is _______

6 / 17

Simplify \left ( \frac{2x+1}{x+y}-1 \right )\div \left ( 1-\frac{x}{x-y} \right ) = __________

  • \frac{x}{x+y}
  • \frac{y}{x+y}
  • \frac{y}{x}
  • \frac{x}{y}

Which Option is Correct

7 / 17

H.C.F of x^2 +3x+2 , x^2+4x+3 and x^2+5x+4 is __________

8 / 17

H.C.F of 5x^{2} and 20 x^{3} y^{3} is ____________

  • 5x^{2}y^{2}
  • 20x^{3}y^{3}
  • 100x^{5}y^{5}
  • 5xy

(Select Correct Option)

9 / 17

H. C. F of  ( p^{3}q-pq^{3} ) and ( p^{5}q^{2}-p^{2}q^{5} ) is ___________

  • pq(p^{2}-q^{2})
  • pq(p-q)
  • p^{2}q^{2} (p-q)
  • pq(p^{3}-q^{3})

(Select Correct Option)

10 / 17

L.C.M of a^2+b^2 and a^4 - b^4 is _________

  1. a^2+b^2
  2. a^2-b^2
  3. a^4-b^4
  4. a-b

(Choose Correct Option)

11 / 17

Simplify \frac{a}{9a^2 - b^2} + \frac{1}{3a-b} = __________

  1. \frac{4a}{9a^2-b^2}
  2. \frac{4a-b}{9a^2-b^2}
  3. \frac{4a+b}{9a^2-b^2}
  4. \frac{b}{9a^2-b^2}

(Choose Correct Option)

12 / 17

the Square Root of a^2 - 2a + 1 is __________

13 / 17

H.C.F of a^{3}+b^{3} and a^{2}-ab+b^{2} is ________

  1. a+b
  2. a^{2}-ab+b^{2}
  3. (a-b)^2
  4. a^2+b^2

(Chose Correct Option)

14 / 17

L.C.M of 15x^2 , 45xy , 30xyz is __________

  1. 90xyz
  2. 90x^2yz
  3. 15xyz
  4. 15x^2yz

(Choose Correct Option)

15 / 17

Simplify \frac{a^3-b^3}{a^4-b^4} \div \frac{a^2+ab+b^2}{a^2+b^2} = ________

  • \frac{1}{a+b}
  • \frac{1}{a-b}
  • \frac{a-b}{a^2+b^2}
  • \frac{a+b}{a^2+b^2}

(Which option is Correct)

16 / 17

Simplify \frac{a^2 +5a-14}{a^2 - 3a-18} \times \frac{a+3}{a-2} = _________

  • \frac{a+7}{a-6}
  • \frac{a+7}{a-2}
  • \frac{a+3}{a-6}
  • \frac{a-2}{a+3}

(Choose Correct Option)

17 / 17

H.C.F of a^2 - b^2  and a^3 - b^3  is ________

  1. a -b
  2. a+b
  3. a^2 + ab+ b^2
  4. a^2 - ab+b^2

(Choose Correct Option)

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

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9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Mathematics Notes for 9th Chapter # 06:

(i) By Factorization:

First we seen how find the square root by factorization.

(ii) By Division:

we have also seen the division method, when it is difficult to convert the given expression into a perfect square by factorization, we use the method of actual division to find its square root. The method is similar to the division method of finding square root of numbers.

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. 

Math Notes Class 9:

9th class math notes chapter 6, 9th class math solution chapter 6 pdf, math notes class 9 chapter 6, Math Notes Class 9 Exercise 6.3, exercise 6.3 class 9, exercise 6.3 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English, Notes of 9th Class Math, Mathematics Notes for 9th Class Exercise 6.3.

Mathematics Notes for 9th Class Exercise 6.2

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Mathematics Notes for 9th Class Exercise 6.2

“Math” a compulsory subject for 9th class Science students. and Mathematics Notes for 9th Class Exercise 6.2 or Math Notes Class 9 English Medium (Science Group) included in this book.

The Question is How to Finding H.C.F. ? that is Good and knowledgeable Question, lets try to discuss with solution of problems.
We can find H. C. F. of given expressions by the following two methods.
(i) H.C.F By Factorization (ii) H.C.F By Division
Sometimes it is difficult to find factors of given expressions. In that case, method of division can be used to find H. C. F. We consider some examples to explain these two methods.
(i) H.C.F. by Factorization

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Math Ch#6, 09th Class

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You Should Enter your Name

1 / 17

H.C.F of x^2 - 5x+6 and x^2 - x-6 is _______

2 / 17

Simplify \frac{a^3-b^3}{a^4-b^4} \div \frac{a^2+ab+b^2}{a^2+b^2} = ________

  • \frac{1}{a+b}
  • \frac{1}{a-b}
  • \frac{a-b}{a^2+b^2}
  • \frac{a+b}{a^2+b^2}

(Which option is Correct)

3 / 17

What should be added to complete the square of x^4 + 64 _____

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

4 / 17

H.C.F of a^{3}+b^{3} and a^{2}-ab+b^{2} is ________

  1. a+b
  2. a^{2}-ab+b^{2}
  3. (a-b)^2
  4. a^2+b^2

(Chose Correct Option)

5 / 17

The product of two Algebraic expressions is equal to the ______ of their H.C.F and L.C.M

6 / 17

H.C.F of x^2 +3x+2 , x^2+4x+3 and x^2+5x+4 is __________

7 / 17

The Square Root of x^4 + \frac{1}{x^4}+2 is ___________

  • \pm \left ( x + \frac{1}{x} \right )
  • \pm \left ( x^2 + \frac{1}{x^2} \right )
  • \pm \left ( x - \frac{1}{x} \right )
  • \pm \left ( x^2 - \frac{1}{x^2} \right )

Select Correct Option

8 / 17

H.C.F of x-2 and x^{2}+x-6 is ___________

  1. x^{2}+x-6
  2. x+3
  3. x-2
  4. x+2

(Chose Correct Option)

9 / 17

H. C. F of  ( p^{3}q-pq^{3} ) and ( p^{5}q^{2}-p^{2}q^{5} ) is ___________

  • pq(p^{2}-q^{2})
  • pq(p-q)
  • p^{2}q^{2} (p-q)
  • pq(p^{3}-q^{3})

(Select Correct Option)

10 / 17

Simplify \frac{a}{9a^2 - b^2} + \frac{1}{3a-b} = __________

  1. \frac{4a}{9a^2-b^2}
  2. \frac{4a-b}{9a^2-b^2}
  3. \frac{4a+b}{9a^2-b^2}
  4. \frac{b}{9a^2-b^2}

(Choose Correct Option)

11 / 17

Simplify \frac{a^2 +5a-14}{a^2 - 3a-18} \times \frac{a+3}{a-2} = _________

  • \frac{a+7}{a-6}
  • \frac{a+7}{a-2}
  • \frac{a+3}{a-6}
  • \frac{a-2}{a+3}

(Choose Correct Option)

12 / 17

L.C.M of 15x^2 , 45xy , 30xyz is __________

  1. 90xyz
  2. 90x^2yz
  3. 15xyz
  4. 15x^2yz

(Choose Correct Option)

13 / 17

L.C.M of a^2+b^2 and a^4 - b^4 is _________

  1. a^2+b^2
  2. a^2-b^2
  3. a^4-b^4
  4. a-b

(Choose Correct Option)

14 / 17

H.C.F of a^2 - b^2  and a^3 - b^3  is ________

  1. a -b
  2. a+b
  3. a^2 + ab+ b^2
  4. a^2 - ab+b^2

(Choose Correct Option)

15 / 17

H.C.F of 5x^{2} and 20 x^{3} y^{3} is ____________

  • 5x^{2}y^{2}
  • 20x^{3}y^{3}
  • 100x^{5}y^{5}
  • 5xy

(Select Correct Option)

16 / 17

the Square Root of a^2 - 2a + 1 is __________

17 / 17

Simplify \left ( \frac{2x+1}{x+y}-1 \right )\div \left ( 1-\frac{x}{x-y} \right ) = __________

  • \frac{x}{x+y}
  • \frac{y}{x+y}
  • \frac{y}{x}
  • \frac{x}{y}

Which Option is Correct

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

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Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

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Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

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Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

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Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

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Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

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Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

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Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

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Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

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Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

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Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

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Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

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Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

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Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

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Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

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Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

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Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

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9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Mathematics Notes for 9th:

Basic Operations on Algebraic Fractions:

Working Rule to find L.C.M. of given Algebraic Expressions 
(i) Factorize the given expressions completely i.e., to simplest form.
(ii) Then the L.C.M. is obtained by taking the product of each factor appearing in any of the given expressions, raised to the highest power with which that factor appears.

Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. 

Math Class 9 Notes:

the topics covered under these subjects like; Mathematics Notes for 9th Class Exercise 6.2, 9th class math notes chapter 6, 9th class math solution chapter 6 pdf, math notes class 9 chapter 6, Math Notes Class 9 Exercise 6.2, exercise 6.2 class 9, exercise 6.2 class 9 then this post is specially for you and your future. All Boards of Intermediate & Secondary Educations in Punjab, Federal Board of Intermediate and Secondary Education, kpd board, Sindh board, Agha Khan Board and also Allama Iqbal Open University are taking examination according to Mathematics 9th Class. 9th Class Math key book pdf in English, Notes of 9th Class Math

Mathematics Notes for 9th Class Exercise 6.1

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Mathematics Notes for 9th Class Exercise 6.1

“Math” a compulsory subject for 9th class Science students. and Mathematics Notes for 9th Class Exercise 6.1 or Math Notes Class 9 English Medium (Science Group) included in this book.

The Question is How to Finding H.C.F. ?
We can find H. C. F. of given expressions by the following two methods.
(i) By Factorization (ii) By Division
Sometimes it is difficult to find factors of given expressions. In that case, method of division can be used to find H. C. F. We consider some examples to explain these two methods.
(i) H.C.F. by Factorization
Example: Find the H. C. F. of the following polynomials. x2 – 4, x2 + 4x + 4, 2×2 + x – 6
Solution by factorization:

x2 – 4 = (x + 2) (x – 2)
x2 + 4x + 4 = (x + 2)2
2×2 + x – 6 = 2×2 + 4x – 3x – 6 = 2x(x + 2) – 3(x + 2)
= (x + 2) (2x – 3)
Hence, H. C. F. = x + 2

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Math Ch#6, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 17

Simplify \frac{a^3-b^3}{a^4-b^4} \div \frac{a^2+ab+b^2}{a^2+b^2} = ________

  • \frac{1}{a+b}
  • \frac{1}{a-b}
  • \frac{a-b}{a^2+b^2}
  • \frac{a+b}{a^2+b^2}

(Which option is Correct)

2 / 17

H.C.F of x^2 - 5x+6 and x^2 - x-6 is _______

3 / 17

The Square Root of x^4 + \frac{1}{x^4}+2 is ___________

  • \pm \left ( x + \frac{1}{x} \right )
  • \pm \left ( x^2 + \frac{1}{x^2} \right )
  • \pm \left ( x - \frac{1}{x} \right )
  • \pm \left ( x^2 - \frac{1}{x^2} \right )

Select Correct Option

4 / 17

L.C.M of a^2+b^2 and a^4 - b^4 is _________

  1. a^2+b^2
  2. a^2-b^2
  3. a^4-b^4
  4. a-b

(Choose Correct Option)

5 / 17

The product of two Algebraic expressions is equal to the ______ of their H.C.F and L.C.M

6 / 17

H. C. F of  ( p^{3}q-pq^{3} ) and ( p^{5}q^{2}-p^{2}q^{5} ) is ___________

  • pq(p^{2}-q^{2})
  • pq(p-q)
  • p^{2}q^{2} (p-q)
  • pq(p^{3}-q^{3})

(Select Correct Option)

7 / 17

the Square Root of a^2 - 2a + 1 is __________

8 / 17

L.C.M of 15x^2 , 45xy , 30xyz is __________

  1. 90xyz
  2. 90x^2yz
  3. 15xyz
  4. 15x^2yz

(Choose Correct Option)

9 / 17

Simplify \frac{a}{9a^2 - b^2} + \frac{1}{3a-b} = __________

  1. \frac{4a}{9a^2-b^2}
  2. \frac{4a-b}{9a^2-b^2}
  3. \frac{4a+b}{9a^2-b^2}
  4. \frac{b}{9a^2-b^2}

(Choose Correct Option)

10 / 17

Simplify \left ( \frac{2x+1}{x+y}-1 \right )\div \left ( 1-\frac{x}{x-y} \right ) = __________

  • \frac{x}{x+y}
  • \frac{y}{x+y}
  • \frac{y}{x}
  • \frac{x}{y}

Which Option is Correct

11 / 17

H.C.F of x-2 and x^{2}+x-6 is ___________

  1. x^{2}+x-6
  2. x+3
  3. x-2
  4. x+2

(Chose Correct Option)

12 / 17

Simplify \frac{a^2 +5a-14}{a^2 - 3a-18} \times \frac{a+3}{a-2} = _________

  • \frac{a+7}{a-6}
  • \frac{a+7}{a-2}
  • \frac{a+3}{a-6}
  • \frac{a-2}{a+3}

(Choose Correct Option)

13 / 17

H.C.F of x^2 +3x+2 , x^2+4x+3 and x^2+5x+4 is __________

14 / 17

What should be added to complete the square of x^4 + 64 _____

  • 8x^2
  • -8x^2
  • 16x^2
  • 4x^2

Select Correct Option

15 / 17

H.C.F of a^{3}+b^{3} and a^{2}-ab+b^{2} is ________

  1. a+b
  2. a^{2}-ab+b^{2}
  3. (a-b)^2
  4. a^2+b^2

(Chose Correct Option)

16 / 17

H.C.F of a^2 - b^2  and a^3 - b^3  is ________

  1. a -b
  2. a+b
  3. a^2 + ab+ b^2
  4. a^2 - ab+b^2

(Choose Correct Option)

17 / 17

H.C.F of 5x^{2} and 20 x^{3} y^{3} is ____________

  • 5x^{2}y^{2}
  • 20x^{3}y^{3}
  • 100x^{5}y^{5}
  • 5xy

(Select Correct Option)

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

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Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

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Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

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Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

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Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

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Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

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Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

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Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

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Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

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Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

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Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

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Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

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Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

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Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

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Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

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Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

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Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

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9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Mathematics Notes for 9th:

How to find L.C.M. by Factorization:

Working Rule to find L.C.M. of given Algebraic Expressions 
(i) Factorize the given expressions completely i.e., to simplest form.
(ii) Then the L.C.M. is obtained by taking the product of each factor appearing in any of the given expressions, raised to the highest power with which that factor appears.

Example: Find the L.C.M. of p(x) = 12(x3 – y3) and q(x) = 8(x3 – xy2)
Solution: By prime factorization of the given expressions, we have
p(x) = 12(x3 – y3) = 22 x 3 x (x – y) (x2 + xy + y2)
and q(x) = 8(x3 – xy2) = 8x(x2 – y2) = 23x(x + y) (x – y)
Hence L.C.M. of p(x) and q(x),
23 x 3 x x(x + y) (x – y) (x2 + xy + y2) = 24x (x + y) (x3 – y3)

There are Seventeen chapters in Mathematics 9th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk . You can find all solution along with 9th Class Math Notes in Urdu (Science Group), Math MCQs Class 9. 

Math Notes Class 9:

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9th Class Math Solution Exercise 5.4

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“Math” a compulsory subject for 9th class Science students. and 9th class math Solution Exercise 5.4 or Math Notes Class 9 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation.

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Welcome

You Should Enter your Name

1 / 15

What will be added to complete the square of 9a^{2}-12ab _______

  • -16b^{2}
  • 16b^{2}
  • 4b^{2}
  • -4b^{2}

(Which Option is Correct)

2 / 15

____________ =  \frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}

  • \left ( \frac{x}{y} +\frac{y}{x}\right )^{2}
  • \left ( \frac{x}{y} -\frac{y}{x}\right )^{2}
  • \left ( \frac{y}{x} +\frac{x}{y}\right )^{2}

3 / 15

Find m so that x^{2}+4x+m is a completed square_____

4 / 15

4a^{2}-16 can be factorize as __________

5 / 15

4a^{2}+4ab+(...........) is a complete square

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

6 / 15

Factors of 3x^{2}-x-2 are __________

7 / 15

Factored form of x^{2}-16 is ___________

8 / 15

The Factors of x^{2} - 5x + 6 are_________

9 / 15

if x-2 is factor of    p(x) = x^{2}+2kx+8    , then k = _______

10 / 15

Factors of 8x^{3} +27y^{3} are ___________

  • (2x+3y), (4x^{2}+9y^{2})
  • (2x-3y), (4x^{2}-9y^{2})
  • (2x+3y), (4x^{2}-6xy+9y^{2})
  • (2x-3y), (4x^{2}+6xy+9y^{2})

(Select Correct Option)

11 / 15

(x+y)(x^{2}-xy+y^{2}) = ................

  • (x^{3}-y^{3})
  • (x^{3}+y^{3})
  • (x+y)^{3}
  • (x-y)^{3}

(Select Correct Option)

12 / 15

x^{2}+5x+6  can factorize as _____________

13 / 15

Factors of 5x^{2}-17xy-12y^{2} are _____

14 / 15

Factors of 27x^{2}-\frac{1}{x^{3}}  are ____________

  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )

(Select Correct Option)

15 / 15

Factors of a^{4}-4b^{4} are _________

  • (a-b), (a+b), (a^{2}+4b^{2})
  • (a-b), (a+b), (a^{2}-4b^{2})
  • (a^{2}-2b^{2}), (a^{2}+2b^{2})
  • (a-2b), (a^{2}+2b^{2})

(Select Correct Option)

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

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Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

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Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

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Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

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Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

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Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

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Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

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Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

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Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

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Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

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Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

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Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

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Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

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Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

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Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

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Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

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Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Mathematics for Class 9th:

Math Notes Class 9:

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9th Class Math Solution Exercise 5 Rev

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9th class math Solution Exercise 5 Rev

“Math” a compulsory subject for 9th class Science students. and 9th class math Solution Exercise 5 Rev or Math Notes Class 9 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk

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117

Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result

Math Ch#5, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 15

if x-2 is factor of    p(x) = x^{2}+2kx+8    , then k = _______

2 / 15

What will be added to complete the square of 9a^{2}-12ab _______

  • -16b^{2}
  • 16b^{2}
  • 4b^{2}
  • -4b^{2}

(Which Option is Correct)

3 / 15

4a^{2}-16 can be factorize as __________

4 / 15

4a^{2}+4ab+(...........) is a complete square

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

5 / 15

____________ =  \frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}

  • \left ( \frac{x}{y} +\frac{y}{x}\right )^{2}
  • \left ( \frac{x}{y} -\frac{y}{x}\right )^{2}
  • \left ( \frac{y}{x} +\frac{x}{y}\right )^{2}

6 / 15

Find m so that x^{2}+4x+m is a completed square_____

7 / 15

Factors of 8x^{3} +27y^{3} are ___________

  • (2x+3y), (4x^{2}+9y^{2})
  • (2x-3y), (4x^{2}-9y^{2})
  • (2x+3y), (4x^{2}-6xy+9y^{2})
  • (2x-3y), (4x^{2}+6xy+9y^{2})

(Select Correct Option)

8 / 15

Factored form of x^{2}-16 is ___________

9 / 15

Factors of 3x^{2}-x-2 are __________

10 / 15

The Factors of x^{2} - 5x + 6 are_________

11 / 15

Factors of a^{4}-4b^{4} are _________

  • (a-b), (a+b), (a^{2}+4b^{2})
  • (a-b), (a+b), (a^{2}-4b^{2})
  • (a^{2}-2b^{2}), (a^{2}+2b^{2})
  • (a-2b), (a^{2}+2b^{2})

(Select Correct Option)

12 / 15

x^{2}+5x+6  can factorize as _____________

13 / 15

(x+y)(x^{2}-xy+y^{2}) = ................

  • (x^{3}-y^{3})
  • (x^{3}+y^{3})
  • (x+y)^{3}
  • (x-y)^{3}

(Select Correct Option)

14 / 15

Factors of 5x^{2}-17xy-12y^{2} are _____

15 / 15

Factors of 27x^{2}-\frac{1}{x^{3}}  are ____________

  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )

(Select Correct Option)

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

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Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

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Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

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Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

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Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

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Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

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Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

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Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

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Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

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Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

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Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

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Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Mathematics for Class 9th:

Factorization:

Factorization plays an important role in mathematics as it helps to reduce the study of a complicated expression to the study of simpler expressions. In this unit, we will deal with different types of
factorization of polynomials.

If a polynomial p(x) can be expressed as p(x) = g(x)h(x), then each of the polynomials g(x) and h(x) is called a factor of p(x). For instance, in the distributive property ab + ac = a(b + c), 
a and (b + c) are factors of (ab + ac).
When a polynomial has been written as a product consisting only of prime factors, then it is said to be factored completely.

  1. Factorization of the Expression of the type ka + kb + kc
  2. Factorization of the Expression of the type ac + ad + bc + bd
  3. Factorization of the Expression of the type a2 ± 2ab + b2
  4. Factorization of the Expression of the type a2 – b2
  5. Factorization of the Expression of the type a2 + 2ab + b2 – c2

How To find Remainder (without dividing) when a polynomial is divided by a Linear Polynomial? this is the problem and solution of this topic related questions are available here with solution, you should visit here.

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Exercise 5 Rev for 9th Class Math Solution:

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9th Class Math Exercise 5.3

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9th class math Exercise 5.3

“Math” a compulsory subject for 9th class Science students. and 9th class math notes Exercise 5.3 or Math Notes Class 9 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation.

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You Should Enter your Name

1 / 15

Factors of 5x^{2}-17xy-12y^{2} are _____

2 / 15

4a^{2}+4ab+(...........) is a complete square

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

3 / 15

Find m so that x^{2}+4x+m is a completed square_____

4 / 15

(x+y)(x^{2}-xy+y^{2}) = ................

  • (x^{3}-y^{3})
  • (x^{3}+y^{3})
  • (x+y)^{3}
  • (x-y)^{3}

(Select Correct Option)

5 / 15

if x-2 is factor of    p(x) = x^{2}+2kx+8    , then k = _______

6 / 15

____________ =  \frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}

  • \left ( \frac{x}{y} +\frac{y}{x}\right )^{2}
  • \left ( \frac{x}{y} -\frac{y}{x}\right )^{2}
  • \left ( \frac{y}{x} +\frac{x}{y}\right )^{2}

7 / 15

Factors of 3x^{2}-x-2 are __________

8 / 15

Factored form of x^{2}-16 is ___________

9 / 15

Factors of 8x^{3} +27y^{3} are ___________

  • (2x+3y), (4x^{2}+9y^{2})
  • (2x-3y), (4x^{2}-9y^{2})
  • (2x+3y), (4x^{2}-6xy+9y^{2})
  • (2x-3y), (4x^{2}+6xy+9y^{2})

(Select Correct Option)

10 / 15

Factors of 27x^{2}-\frac{1}{x^{3}}  are ____________

  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )

(Select Correct Option)

11 / 15

4a^{2}-16 can be factorize as __________

12 / 15

What will be added to complete the square of 9a^{2}-12ab _______

  • -16b^{2}
  • 16b^{2}
  • 4b^{2}
  • -4b^{2}

(Which Option is Correct)

13 / 15

The Factors of x^{2} - 5x + 6 are_________

14 / 15

Factors of a^{4}-4b^{4} are _________

  • (a-b), (a+b), (a^{2}+4b^{2})
  • (a-b), (a+b), (a^{2}-4b^{2})
  • (a^{2}-2b^{2}), (a^{2}+2b^{2})
  • (a-2b), (a^{2}+2b^{2})

(Select Correct Option)

15 / 15

x^{2}+5x+6  can factorize as _____________

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

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Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

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Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

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Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

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Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

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Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

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Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

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Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

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Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

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Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Mathematics for 9th:

Math Notes Class 9:

9th class math notes science group in English, 9th class math notes science group in urdu, 9th class math notes chapter 1 pdf, 9th class math notes chapter 3, 9th class math notes pdf in hindi, 9th class math notes chapter 4, 9th class math notes chapter 2 review exercise, 9th class math solution chapter 5 pdf, math notes class 9 chapter 5, Math Notes Class 9 Exercise 5.3, exercise 5.3 class 9, exercise 5.3 class 9 then this post is specially for you and your future. 9th Class Math key book pdf in English, Notes of 9th Class Math

9th Math Solution:

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math notes for 9th class, 9th class math notes, 9th class Math, 9th Math Solution

9th Class Math Notes Exercise 5.2

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9th class math notes Exercise 5.2

“Math” a compulsory subject for 9th class Science students. and 9th class math notes Exercise 5.2 or Math Notes Class 9 English Medium (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you 9th class math notes Solution for your better preparation.

(DOWNLOAD IN PDF FORMAT)

Note: If you find any error, then just inform us in comments or email address admin@eStudent.pk

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1 votes, 5 avg
117

Revise / Test Your MCQs

Time is over

Thanks for taking Quiz, Click Finish Button to see your Result

Math Ch#5, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 15

Factors of 27x^{2}-\frac{1}{x^{3}}  are ____________

  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )

(Select Correct Option)

2 / 15

Factors of 3x^{2}-x-2 are __________

3 / 15

x^{2}+5x+6  can factorize as _____________

4 / 15

Factors of a^{4}-4b^{4} are _________

  • (a-b), (a+b), (a^{2}+4b^{2})
  • (a-b), (a+b), (a^{2}-4b^{2})
  • (a^{2}-2b^{2}), (a^{2}+2b^{2})
  • (a-2b), (a^{2}+2b^{2})

(Select Correct Option)

5 / 15

What will be added to complete the square of 9a^{2}-12ab _______

  • -16b^{2}
  • 16b^{2}
  • 4b^{2}
  • -4b^{2}

(Which Option is Correct)

6 / 15

(x+y)(x^{2}-xy+y^{2}) = ................

  • (x^{3}-y^{3})
  • (x^{3}+y^{3})
  • (x+y)^{3}
  • (x-y)^{3}

(Select Correct Option)

7 / 15

Factors of 8x^{3} +27y^{3} are ___________

  • (2x+3y), (4x^{2}+9y^{2})
  • (2x-3y), (4x^{2}-9y^{2})
  • (2x+3y), (4x^{2}-6xy+9y^{2})
  • (2x-3y), (4x^{2}+6xy+9y^{2})

(Select Correct Option)

8 / 15

The Factors of x^{2} - 5x + 6 are_________

9 / 15

Factored form of x^{2}-16 is ___________

10 / 15

____________ =  \frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}

  • \left ( \frac{x}{y} +\frac{y}{x}\right )^{2}
  • \left ( \frac{x}{y} -\frac{y}{x}\right )^{2}
  • \left ( \frac{y}{x} +\frac{x}{y}\right )^{2}

11 / 15

4a^{2}-16 can be factorize as __________

12 / 15

if x-2 is factor of    p(x) = x^{2}+2kx+8    , then k = _______

13 / 15

Find m so that x^{2}+4x+m is a completed square_____

14 / 15

Factors of 5x^{2}-17xy-12y^{2} are _____

15 / 15

4a^{2}+4ab+(...........) is a complete square

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

Your score is

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)

Exercise 1.2           (English)            (Urdu)

Exercise 1.3           (English)            (Urdu)

Exercise 1.4           (English)            (Urdu)

Exercise 1.5           (English)            (Urdu)

Exercise 1.6           (English)            (Urdu)

Exercise 1-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)

Exercise 2.2           (English)            (Urdu)

Exercise 2.3           (English)            (Urdu)

Exercise 2.4           (English)            (Urdu)

Exercise 2.5           (English)            (Urdu)

Exercise 2.6           (English)            (Urdu)

Exercise 2-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)

Exercise 3.2           (English)            (Urdu)

Exercise 3.3           (English)            (Urdu)

Exercise 3.4           (English)            (Urdu)

Exercise 3-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)

Exercise 4.2           (English)            (Urdu)

Exercise 4.3           (English)            (Urdu)

Exercise 4.4           (English)            (Urdu)

Exercise 4-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)

Exercise 5.2           (English)            (Urdu)

Exercise 5.3           (English)            (Urdu)

Exercise 5.4           (English)            (Urdu)

Exercise 5-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)

Exercise 6.2           (English)            (Urdu)

Exercise 6.3           (English)            (Urdu)

Exercise 6-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)

Exercise 7.2           (English)            (Urdu)

Exercise 7.3           (English)            (Urdu)

Exercise 7-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)

Exercise 8.2           (English)            (Urdu)

Exercise 8.3           (English)            (Urdu)

Exercise 8-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)

Exercise 9.2           (English)            (Urdu)

Exercise 9.3           (English)            (Urdu)

Exercise 9-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)

Exercise 10.2           (English)            (Urdu)

Exercise 10.3           (English)            (Urdu)

Exercise 10.4           (English)            (Urdu)

Exercise 10-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)

Exercise 11.2           (English)            (Urdu)

Exercise 11.3           (English)            (Urdu)

Exercise 11.4           (English)            (Urdu)

Exercise 11.5           (English)            (Urdu)

Exercise 11-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)

Exercise 12.2           (English)            (Urdu)

Exercise 12.3           (English)            (Urdu)

Exercise 12-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)

Exercise 13.2           (English)            (Urdu)

Exercise 13-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)

Exercise 14.2           (English)            (Urdu)

Exercise 14-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)

Exercise 15-Rev   (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)

Exercise 16.2           (English)            (Urdu)

Exercise 16-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)

Exercise 17.2           (English)            (Urdu)

Exercise 17.3           (English)            (Urdu)

Exercise 17.4           (English)            (Urdu)

Exercise 17.5           (English)            (Urdu)

Exercise 17-Rev      (English)            (Urdu)

Online Practice/ Test - MCQs & Short Questions

9th Math Science Group (English Medium)

9th Math Science Group (Urdu Medium)

9th Math Arts Group (Urdu Medium)

Mathematics Notes for 9th:

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