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10th Class Math Notes Exercise 2.1

10th Class Math Solution Notes
10th Class Math Notes Exercise 2.1

“Math” a compulsory subject for 10th class Science students. and 10th Class Math Notes Exercise 2.1 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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Math Ch#02, 10th Class

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1 / 58

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

2 / 58

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

3 / 58

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

4 / 58

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

then Roots are _______

5 / 58

Cube Roots of "-1" are ______

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

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

10 / 58

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

11 / 58

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

12 / 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)

13 / 58

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

14 / 58

Product of cube roots of unity is ___________

15 / 58

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

16 / 58

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

17 / 58

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

18 / 58

(-1+\sqrt{-3})^{3} =  _____________

19 / 58

α² + β² is equal to ________

20 / 58

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

21 / 58

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

22 / 58

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

23 / 58

Cube Roots of 64 are _______

24 / 58

Two Square Roots of unity are _________

25 / 58

\omega ^{4} = _______

26 / 58

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

27 / 58

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

28 / 58

(9 + 4ω + 4ω² )³  =   _________

29 / 58

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

30 / 58

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

31 / 58

Cube Roots of 8 are _________

32 / 58

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

33 / 58

Sum of the cube roots of unity is ________

34 / 58

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

35 / 58

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

36 / 58

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

37 / 58

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

38 / 58

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

39 / 58

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

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

\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)

43 / 58

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

44 / 58

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

45 / 58

(1 - 3ω -  3ω² )³ = _________

46 / 58

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

47 / 58

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

48 / 58

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

49 / 58

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

50 / 58

\omega ^{4} = _______

51 / 58

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

52 / 58

Cube Roots of -27 are _________

53 / 58

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

54 / 58

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

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

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

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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


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 2.1, 10th Class Math Notes Exercise 2.1

Notes for Class 10th Math

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