10th Class Math Notes Exercise 2.8

10th class Math Notes Exercise 2 Misc

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10th Class Math Notes Exercise 2 Misc

10th Class Math Notes Exercise 2 Misc

“Math” a compulsory subject for 10th class Science students. and 10th Class Math Notes Exercise 2.8 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.

(DOWNLOAD IN PDF FORMAT)

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

MCQs & Short Questions

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Math Ch#02, 10th 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 / 58

Discriminant of 2x² - 7x + 1 = 0 is __________

2 / 58

If length and width of any rectangle are x & y respectively then Parameter of said rectangle can be shown as ________

3 / 58

(1-\omega -\omega ^2)^{5}  =   ____________

4 / 58

If ω is complex cube root of unity, then \omega ^{-27}  = __________

5 / 58

If b²-4ac > 0, but not a perfect square then roots of ax²  + bx + c =0 are _________

6 / 58

Cube Roots of "-1" are ______

7 / 58

If 1 + ω  + ω²  are cube roots of unity, then ω + ω²  = _______

8 / 58

If roots of a quadratic equation are irrational and distinct, then Discriminant is ________

9 / 58

(9 + 4ω + 4ω² )³  =   _________

10 / 58

If Roots of a quadratic equation are real, rational and equal, then the possible value of Discriminant will be __________

11 / 58

If Roots of any quadratic equation are real, rational and unequal then possible value of Discriminant will be _________

12 / 58

\frac{1}{\alpha } + \frac{1}{\beta } is equal to __________

  1. \frac{1}{\alpha }
  2. \frac{1}{\alpha }-\frac{1}{\beta }
  3. \frac{\alpha -\beta }{\alpha \beta }
  4. \frac{\alpha +\beta }{\alpha \beta }

(Which Option is Correct)

13 / 58

α² + β² is equal to ________

14 / 58

If b²-4ac > 0, but not a perfect square then roots of    ax²+bx+c=0  are _______

15 / 58

If 1, ω, ω² are cube root of unity, then 1 + ω + ω² = _______ ω³

16 / 58

Roots of the equation   4x²-4x+1=0 are _______

17 / 58

If Roots of any Quadratic Equation are Real but distinct , then its Discriminant must be ___________

18 / 58

If any quadratic equation have b²-4ac=205,

then Roots are _______

19 / 58

If ω is complex cube root of unity, then \omega ^{-5} = _______

20 / 58

If Roots of a quadratic equation are rational and distinct, then its Discriminant must be ______

21 / 58

If ω is complex cube root of unity, then \omega ^{-16} = _________

22 / 58

Discriminant of x² - 3x + 3 = 0    is _________

23 / 58

If ω and ω² are complex cube root of unity, then ω.ω² = ________

24 / 58

Which of the following shows "the product of two consecutive positive number"

25 / 58

Cube Roots of 8 are _________

26 / 58

\omega ^{4} = _______

27 / 58

If Roots of a Quadratic Equation are imaginary, and unequal, the possible value of Discriminant is _________

28 / 58

If the Roots of any Quadratic Equation are equal, then its Discriminant will be ________

29 / 58

If 1, ω, ω² are cube roots of unity, then 1 + ω = _______

30 / 58

If  \omega = \frac{-1-\sqrt{-3}}{2}    then    ω² = ___________

  1. \frac{-1\pm \sqrt{3}}{2}
  2. \frac{-1+ \sqrt{3}}{2}
  3. \frac{-1+ \sqrt{-3}}{2}
  4. \frac{-1\pm \sqrt{-3}}{2}

(Which Option is Correct)

31 / 58

The Equation x^4 - 49x^2+36x+252 = 0 is called ________

32 / 58

The Sum of five times a number and the square of the number is ________

33 / 58

If b²-4ac <0, then the roots of  ax²+bx+c=0 are __________

34 / 58

Product of cube roots of unity is ___________

35 / 58

If α , β are the roots of   7x^2-x+4=0   , then αβ is ______

36 / 58

Cube Roots of -27 are _________

37 / 58

"Five less than three times a certain number" is written in equation form as _______

38 / 58

The Roots of   x² + 8x + 16 = 0  , are _______

39 / 58

The discriminant of    ax² + bx + c = 0   is ________

40 / 58

Roots of any quadratic equation determined as Imaginary, as its Discriminant is ____

41 / 58

If α, β are the roots of x²-x-1=0 , then sum of the roots 2α and 2β is ________

42 / 58

(-1+\sqrt{-3})^{3} =  _____________

43 / 58

The Nature of the Roots of equation ax²+bx+c=0 can be determined by _______

44 / 58

If α, β are the roots of px²+qx+r=0 , then the sum of the roots 2α and 2β is ________

45 / 58

Sum of the cube roots of unity is ________

46 / 58

(1 - 3ω -  3ω² )³ = _________

47 / 58

If Roots of a Quadratic Equation are real, irrational and unequal then possible value of Discriminant will be _________

48 / 58

If b²-4ac = 0 , then roots of quadratic equation ax²+bx+c=0 are ___________

49 / 58

Two Square Roots of unity are _________

50 / 58

The Determinant of a Quadratic Equation is -47 , then the Roots are______

51 / 58

For a quadratic Equation b²-4ac=49  , then Roots are Real and ________

52 / 58

If ω us complex cube root of unity, then \omega ^{63} = _______

53 / 58

If α, β are roots of 3x^2+5x-2 =0 , then α  + β is _________

54 / 58

Cube Roots of 64 are _______

55 / 58

Roots of the equation  4x^2-5x+2=0  are ________

56 / 58

\omega ^{4} = _______

57 / 58

Which of the following are symmetric function of the roots of a quadratic equation?

58 / 58

If ω is complex cube root of unity, then \omega ^{23} = _____

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Math Solution 10th Class (Science Group)

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)

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 3.5          (English)          (Urdu)

Exercise 3.6          (English)          (Urdu)

Exercise 3.7          (English)          (Urdu)

Ex 3-Misc              (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)

Ex 4-Misc               (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 5.5          (English)          (Urdu)

Ex 5-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 6.1          (English)          (Urdu)

Exercise 6.2          (English)          (Urdu)

Exercise 6.3          (English)          (Urdu)

Ex 6-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 7.1          (English)          (Urdu)

Exercise 7.2          (English)          (Urdu)

Exercise 7.3          (English)          (Urdu)

Exercise 7.4          (English)          (Urdu)

Exercise 7.5          (English)          (Urdu)

Ex 7-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 8.1          (English)          (Urdu)

Exercise 8.2         (English)          (Urdu)

Ex 8-Misc             (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 9.1          (English)          (Urdu)

Exercise 9.2         (English)          (Urdu)

Ex 9-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 10.1          (English)          (Urdu)

Exercise 10.2          (English)          (Urdu)

Exercise 10.3          (English)          (Urdu)

Ex 10-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 11.1          (English)          (Urdu)

Ex 11-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 12.1          (English)          (Urdu)

Ex 12-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 13.1          (English)          (Urdu)

Exercise 13.2          (English)          (Urdu)

Exercise 13.3          (English)          (Urdu)

Ex 13-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

2018

2019

2020

2021

2022

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 10th Class Math Notes, Notes of 10th Class math, 10th Class Math Solution, 10th Class Math, 10th Class math solution pdf, 10th class Math solution pdf download, 10th class math guess paper 2022, Past Papers 10th Class Math, 10th class math solution pdf download, past papers 10th class math, 10th class math key book pdf free download, 10th class math solution pdf free download, 10th class math book solved all chapters pdf download, 10th class math MCQs pdf download, 10th class math pairing scheme 2022, 10th class math guide pdf download, 10th Class Math Notes Chapter 2, 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 2 Misc, 10th Class Math Notes Exercise 2 Misc

Notes for Class 10th Math

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10th class Math Notes Exercise 2.8

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10th Class Math Notes Exercise 2.8

10th Class Math Notes Exercise 2.8

“Math” a compulsory subject for 10th class Science students. and 10th Class Math Notes Exercise 2.8 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.

(DOWNLOAD IN PDF FORMAT)

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

MCQs & Short Questions

0%
1 votes, 5 avg
45

Revise / Test Your MCQs

Time is over

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

Math Ch#02, 10th 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 / 58

The Determinant of a Quadratic Equation is -47 , then the Roots are______

2 / 58

If Roots of any Quadratic Equation are Real but distinct , then its Discriminant must be ___________

3 / 58

If α, β are the roots of x²-x-1=0 , then sum of the roots 2α and 2β is ________

4 / 58

If α, β are roots of 3x^2+5x-2 =0 , then α  + β is _________

5 / 58

(1-\omega -\omega ^2)^{5}  =   ____________

6 / 58

The Sum of five times a number and the square of the number is ________

7 / 58

If roots of a quadratic equation are irrational and distinct, then Discriminant is ________

8 / 58

If ω is complex cube root of unity, then \omega ^{-27}  = __________

9 / 58

If Roots of any quadratic equation are real, rational and unequal then possible value of Discriminant will be _________

10 / 58

If 1 + ω  + ω²  are cube roots of unity, then ω + ω²  = _______

11 / 58

Cube Roots of -27 are _________

12 / 58

Discriminant of 2x² - 7x + 1 = 0 is __________

13 / 58

The discriminant of    ax² + bx + c = 0   is ________

14 / 58

Roots of the equation   4x²-4x+1=0 are _______

15 / 58

\omega ^{4} = _______

16 / 58

Roots of any quadratic equation determined as Imaginary, as its Discriminant is ____

17 / 58

If ω is complex cube root of unity, then \omega ^{-16} = _________

18 / 58

\frac{1}{\alpha } + \frac{1}{\beta } is equal to __________

  1. \frac{1}{\alpha }
  2. \frac{1}{\alpha }-\frac{1}{\beta }
  3. \frac{\alpha -\beta }{\alpha \beta }
  4. \frac{\alpha +\beta }{\alpha \beta }

(Which Option is Correct)

19 / 58

Two Square Roots of unity are _________

20 / 58

If Roots of a Quadratic Equation are imaginary, and unequal, the possible value of Discriminant is _________

21 / 58

If ω is complex cube root of unity, then \omega ^{23} = _____

22 / 58

\omega ^{4} = _______

23 / 58

If any quadratic equation have b²-4ac=205,

then Roots are _______

24 / 58

If Roots of a quadratic equation are real, rational and equal, then the possible value of Discriminant will be __________

25 / 58

If length and width of any rectangle are x & y respectively then Parameter of said rectangle can be shown as ________

26 / 58

If Roots of a Quadratic Equation are real, irrational and unequal then possible value of Discriminant will be _________

27 / 58

(1 - 3ω -  3ω² )³ = _________

28 / 58

Which of the following are symmetric function of the roots of a quadratic equation?

29 / 58

"Five less than three times a certain number" is written in equation form as _______

30 / 58

The Equation x^4 - 49x^2+36x+252 = 0 is called ________

31 / 58

α² + β² is equal to ________

32 / 58

The Nature of the Roots of equation ax²+bx+c=0 can be determined by _______

33 / 58

Which of the following shows "the product of two consecutive positive number"

34 / 58

If the Roots of any Quadratic Equation are equal, then its Discriminant will be ________

35 / 58

(9 + 4ω + 4ω² )³  =   _________

36 / 58

Cube Roots of "-1" are ______

37 / 58

If ω and ω² are complex cube root of unity, then ω.ω² = ________

38 / 58

Cube Roots of 64 are _______

39 / 58

If 1, ω, ω² are cube root of unity, then 1 + ω + ω² = _______ ω³

40 / 58

If b²-4ac > 0, but not a perfect square then roots of    ax²+bx+c=0  are _______

41 / 58

If 1, ω, ω² are cube roots of unity, then 1 + ω = _______

42 / 58

If b²-4ac <0, then the roots of  ax²+bx+c=0 are __________

43 / 58

If ω us complex cube root of unity, then \omega ^{63} = _______

44 / 58

Roots of the equation  4x^2-5x+2=0  are ________

45 / 58

The Roots of   x² + 8x + 16 = 0  , are _______

46 / 58

If α , β are the roots of   7x^2-x+4=0   , then αβ is ______

47 / 58

(-1+\sqrt{-3})^{3} =  _____________

48 / 58

If b²-4ac = 0 , then roots of quadratic equation ax²+bx+c=0 are ___________

49 / 58

Discriminant of x² - 3x + 3 = 0    is _________

50 / 58

Cube Roots of 8 are _________

51 / 58

If b²-4ac > 0, but not a perfect square then roots of ax²  + bx + c =0 are _________

52 / 58

Sum of the cube roots of unity is ________

53 / 58

For a quadratic Equation b²-4ac=49  , then Roots are Real and ________

54 / 58

If α, β are the roots of px²+qx+r=0 , then the sum of the roots 2α and 2β is ________

55 / 58

If ω is complex cube root of unity, then \omega ^{-5} = _______

56 / 58

Product of cube roots of unity is ___________

57 / 58

If  \omega = \frac{-1-\sqrt{-3}}{2}    then    ω² = ___________

  1. \frac{-1\pm \sqrt{3}}{2}
  2. \frac{-1+ \sqrt{3}}{2}
  3. \frac{-1+ \sqrt{-3}}{2}
  4. \frac{-1\pm \sqrt{-3}}{2}

(Which Option is Correct)

58 / 58

If Roots of a quadratic equation are rational and distinct, then its Discriminant must be ______

Your score is

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Math Solution 10th Class (Science Group)

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)

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 3.5          (English)          (Urdu)

Exercise 3.6          (English)          (Urdu)

Exercise 3.7          (English)          (Urdu)

Ex 3-Misc              (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)

Ex 4-Misc               (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 5.5          (English)          (Urdu)

Ex 5-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 6.1          (English)          (Urdu)

Exercise 6.2          (English)          (Urdu)

Exercise 6.3          (English)          (Urdu)

Ex 6-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 7.1          (English)          (Urdu)

Exercise 7.2          (English)          (Urdu)

Exercise 7.3          (English)          (Urdu)

Exercise 7.4          (English)          (Urdu)

Exercise 7.5          (English)          (Urdu)

Ex 7-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 8.1          (English)          (Urdu)

Exercise 8.2         (English)          (Urdu)

Ex 8-Misc             (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 9.1          (English)          (Urdu)

Exercise 9.2         (English)          (Urdu)

Ex 9-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 10.1          (English)          (Urdu)

Exercise 10.2          (English)          (Urdu)

Exercise 10.3          (English)          (Urdu)

Ex 10-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 11.1          (English)          (Urdu)

Ex 11-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 12.1          (English)          (Urdu)

Ex 12-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 13.1          (English)          (Urdu)

Exercise 13.2          (English)          (Urdu)

Exercise 13.3          (English)          (Urdu)

Ex 13-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

2018

2019

2020

2021

2022

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 10th Class Math Notes, Notes of 10th Class math, 10th Class Math Solution, 10th Class Math, 10th Class math solution pdf, 10th class Math solution pdf download, 10th class math guess paper 2022, Past Papers 10th Class Math, 10th class math solution pdf download, past papers 10th class math, 10th class math key book pdf free download, 10th class math solution pdf free download, 10th class math book solved all chapters pdf download, 10th class math MCQs pdf download, 10th class math pairing scheme 2022, 10th class math guide pdf download, 10th Class Math Notes Chapter 2, 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 2.8, 10th Class Math Notes Exercise 2.8

Notes for Class 10th Math

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