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10th class Math Notes Exercise 4.1

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10th Class Math Notes Exercise 4.1

10th Class Math Solution Notes — 10th Class Math Notes Exercise 4.1

“Math” a compulsory subject for 10th class Science students. and 10th Class Math Notes Exercise 4.1 English (Science Group) included in this book. For getting good marks in this subject, the students need more practice. Here we are providing you Math Notes 10th class Solution for your better preparation. 10th class Science Students can get more practice and prepared through these important mathematics class 10 notes solutions. We are providing you these notes in the pdf files in which you can easily download and save. 10th class general math notes pdf is available for preparation here. Lets take a visit on English Medium version and enjoy your study also share with your friends for the easiness of other classmates and colleagues.

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MCQs & Short Questions

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Math Ch#04, 10th Class

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1 / 19

Partial Fractions of $\frac{1}{(x-1)^{2}(x-2)}$ are of the form ___________ (Select Correct Option)

$\frac{A}{x-1}+\frac{Bx+C}{(x-1)^{2}}+\frac{D}{x-2}$
$\frac{A}{x-1}+\frac{B}{x-1^{}}+\frac{C}{x-2}$
$\frac{A}{x-1}+\frac{B}{(x-1)^{2}}+\frac{C}{x-2}$
$\frac{Ax+B}{(x-1)^{2}}+\frac{C}{x-2}$

Option-III

Option-I

Option-IV

Option-II

2 / 19

The identity $(5x+4)^{^{2}} = 25x^2 +40x+16$ is ture for _________

none of these

one value of x

all values of x

two values of x

3 / 19

$(x+3)^{2} = x^2+6x+9$ is ____________

an identity

a linear equation

an equation

none of these

4 / 19

Partial Fractions of $\frac{x+2}{(x+1)(x^2+2)}$ are of the form of _____________ (Select Correct Option)

$\frac{A}{(x+1)}+\frac{B}{(x^2+2)}$
$\frac{A}{(x+1)}+\frac{Bx+C}{(x^2+2)}$
$\frac{Ax+B}{(x+1)}+\frac{C}{(x^2+2)}$
$\frac{A}{(x+1)}+\frac{Bx}{(x^2+2)}$

Option-III

Option-IV

Option-I

Option-II

5 / 19

Partial Fractions of $\frac{x^3-2x^2-2}{(x^2+1)^{2}}$ are of the form ___________ (Select One Option)

$\frac{Ax+B}{x^2+1}+ \frac{Cx^2+D}{(x^2+1)^{2}}$
$\frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^{2}}$
$\frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^{}}$
$\frac{Ax+B}{x^2+1}+ \frac{Cx}{(x^2+1)^{2}}$

Option-IV

Option-II

Option-I

Option-III

6 / 19

$\frac{2x+1}{(x+1)(x-1)}$ is ___________

an equation

none of these

an improper fraction

a proper fraction

7 / 19

Partial Fractions of $\frac{x^2+1}{(x+1)(x-1)}$ are of the from of ________ (Select Correct Option)

$\frac{A}{(x+1)}+\frac{B}{(x-1)}$
$1+\frac{A}{(x+1)}+\frac{Bx+C}{(x-1)}$
$1+\frac{A}{(x+1)}+\frac{B}{(x-1)}$
$\frac{Ax+B}{(x+1)}+\frac{C}{(x-1)}$

Option-II

Option-III

Option-IV

Option-I

8 / 19

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called ______

an equation

a proper fraction

algebraic relation

an improper fraction

9 / 19

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called ______

algebraic relation

an improper fraction

an equation

a proper fraction

10 / 19

A function of the form $f(x) = \frac{N(x)}{D(x)'}$ with D (x) = 0, where N (x) and D(x) are polynomials in x is called ______

none of these

an identity

an equation

a fraction

11 / 19

Partial Fractions of $\frac{1}{(x-1)^{2}(x-2)}$ are in the form of __________ (Select Correct Option)

$\frac{Ax+C}{(x-1)^2}+\frac{C}{(x-2)}$
$\frac{A}{x-1}+\frac{B}{(x-1)^{2}}+\frac{C}{x-2}$
$\frac{Ax+B}{x^2+2x+4}$
$\frac{A}{(x-1)^2}+\frac{B}{(x-2)}$

Option-I

Option-III

Option-II

Option-IV

12 / 19

a fraction in which the degree of numerator is less then the degree of the denominator is called __________

a proper fraction

an identity

an equation

an improper fraction

13 / 19

An _______ equation is a type of equation, which is satisfied by all the values of variable involved in given equation.

proper

Identity

Improper

None of these

14 / 19

Partial Fractions of $\frac{2x+5}{(x+1)(x^2+2)^2}$ are of the form _________ (Select Correct Option)

$\frac{A}{x+1}+\frac{Bx+C}{x^2+2}+\frac{Dx+E}{(x^2+2)^{2}}$
$\frac{A}{x+1}+\frac{Bx+C}{x^2+2}$
$\frac{Bx+C}{x^2+2}+\frac{Dx+E}{(x^2+2)^{2}}$
$\frac{A}{x+1}+\frac{B}{x^2+2}+\frac{Cx+D}{(x^2+2)^{2}}$

Option-IV

Option-II

Option-III

Option-I

15 / 19

$\frac{x^3+1}{(x-1)(x+2)}$ is _________________

an identity

a constant term

a proper fraction

an improper fraction

16 / 19

The Quotient of two numbers or algebraic expression is called a _____

fraction

rational

none of these

proportional

17 / 19

A fraction with degree of numerator less then degree of denominator is called _____ fraction

Proper

Identity

Equation

Improper

18 / 19

Resolution of fraction into fractions depends upon the factors of _____

Denominator of fraction

Both Numerator and Denominator

Numerator of fraction

None of these

19 / 19

Partial fractions of $\frac{(x-2)}{(x-1)(x+2)}$ are the form of __________ (Select Correct Option)

$\frac{A}{(x-1)}+\frac{B}{(x+2)}$
$\frac{Ax}{(x-1)}+\frac{B}{(x+2)}$
$\frac{A}{(x-1)}+\frac{Bx+C}{(x+2)}$
$\frac{Ax+B}{(x-1)}+\frac{C}{(x+2)}$

Option-IV

Option-I

Option-III

Option-II

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Math Solution 10th Class (Science Group)

Chapter 01 - QUADRATIC EQUATIONS

Exercise 1.1 (English) (Urdu)

Exercise 1.2 (English) (Urdu)

Exercise 1.3 (English) (Urdu)

Exercise 1.4 (English) (Urdu)

Ex 1-Misc (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 02 - THEORY OF QUADRATIC EQUATIONS

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 2.7 (English) (Urdu)

Exercise 2.8 (English) (Urdu)

Ex 2-Misc (English) (Urdu)

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Chapter 03 - VARIATIONS

Exercise 3.1 (English) (Urdu)

Exercise 3.2 (English) (Urdu)

Exercise 3.3 (English) (Urdu)

Exercise 3.4 (English) (Urdu)

Exercise 3.5 (English) (Urdu)

Exercise 3.6 (English) (Urdu)

Exercise 3.7 (English) (Urdu)

Ex 3-Misc (English) (Urdu)

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Chapter 04 - PARTIAL FRACTIONS

Exercise 4.1 (English) (Urdu)

Exercise 4.2 (English) (Urdu)

Exercise 4.3 (English) (Urdu)

Exercise 4.4 (English) (Urdu)

Ex 4-Misc (English) (Urdu)

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Chapter 05 - SETS AND FUNCTIONS

Exercise 5.1 (English) (Urdu)

Exercise 5.2 (English) (Urdu)

Exercise 5.3 (English) (Urdu)

Exercise 5.4 (English) (Urdu)

Exercise 5.5 (English) (Urdu)

Ex 5-Misc (English) (Urdu)

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Chapter 06 - BASIC STATISTICS

Exercise 6.1 (English) (Urdu)

Exercise 6.2 (English) (Urdu)

Exercise 6.3 (English) (Urdu)

Ex 6-Misc (English) (Urdu)

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Chapter 07 - INTRODUCTION TO TRIGONOMETRY

Exercise 7.1 (English) (Urdu)

Exercise 7.2 (English) (Urdu)

Exercise 7.3 (English) (Urdu)

Exercise 7.4 (English) (Urdu)

Exercise 7.5 (English) (Urdu)

Ex 7-Misc (English) (Urdu)

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Chapter 08 - PROJECTION OF A SIDE OF A TRIANGLE

Exercise 8.1 (English) (Urdu)

Exercise 8.2 (English) (Urdu)

Ex 8-Misc (English) (Urdu)

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Chapter 09 - CHORDS OF A CIRCLE

Exercise 9.1 (English) (Urdu)

Exercise 9.2 (English) (Urdu)

Ex 9-Misc (English) (Urdu)

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Chapter 10 - TANGENT TO A CIRCLE

Exercise 10.1 (English) (Urdu)

Exercise 10.2 (English) (Urdu)

Exercise 10.3 (English) (Urdu)

Ex 10-Misc (English) (Urdu)

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Chapter 11 - CHORDS AND ARCS

Exercise 11.1 (English) (Urdu)

Ex 11-Misc (English) (Urdu)

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Chapter 12 - ANGLE IN A SEGMENT OF A CIRCLE

Exercise 12.1 (English) (Urdu)

Ex 12-Misc (English) (Urdu)

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Chapter 13 - PRACTICAL GEOMETRY - CIRCLES

Exercise 13.1 (English) (Urdu)

Exercise 13.2 (English) (Urdu)

Exercise 13.3 (English) (Urdu)

Ex 13-Misc (English) (Urdu)

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Math Past Papers

2018

2019

2020

2021

2022

Other Math Notes

10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

10th Math Past Papers (Arts Group)

9th Class Math Science Group (English Medium)

9th Class Math Science Group (Urdu Medium)

9th Class Math Arts Group (Urdu Medium)

9th Class Math Past Papers (Science Group)

9th Class Math Past Papers (Arts Group)

Class 10th Math Notes pdf (Solution)

There are total 13 Chapters in Mathematics 10th 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 , Math MCQs Class 10. if you are searching the topics like 10^th Class Math Notes, Notes of 10^th Class math, 10^th Class Math Solution, 10^th Class Math, 10^th Class math solution pdf, 10^th class Math solution pdf download, 10^th class math guess paper 2022, Past Papers 10^th Class Math, 10^th class math solution pdf download, past papers 10^th class math, 10^th class math key book pdf free download, 10^th class math solution pdf free download, 10^th class math book solved all chapters pdf download, 10^th class math MCQs pdf download, 10^th class math pairing scheme 2022, 10^th class math guide pdf download, 10^th Class Math Notes Chapter 4, 10th Class Math Notes in Urdu (Science Group), math class 10 notes Punjab board, key book of mathematics 10th class punjab text book pdf, math notes class 10 urdu medium, Math Notes Class 10 Solution Exercise 4.1, 10th Class Math Notes Exercise 4.1

Notes for Class 10th Math

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