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10th Class Math Notes Exercise 2.8

10th Class Math Solution Notes
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.

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Math Ch#02, 10th Class

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1 / 58

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

2 / 58

Two Square Roots of unity are _________

3 / 58

α² + β² is equal to ________

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

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

10 / 58

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

11 / 58

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

12 / 58

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

13 / 58

(-1+\sqrt{-3})^{3} =  _____________

14 / 58

Cube Roots of 64 are _______

15 / 58

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

16 / 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)

17 / 58

Cube Roots of -27 are _________

18 / 58

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

then Roots are _______

19 / 58

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

20 / 58

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

21 / 58

Cube Roots of 8 are _________

22 / 58

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

23 / 58

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

24 / 58

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

25 / 58

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

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

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

31 / 58

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

32 / 58

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

33 / 58

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

34 / 58

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

35 / 58

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

36 / 58

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

37 / 58

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

38 / 58

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

39 / 58

Product of cube roots of unity is ___________

40 / 58

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

41 / 58

(1 - 3ω -  3ω² )³ = _________

42 / 58

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

43 / 58

Cube Roots of "-1" are ______

44 / 58

\omega ^{4} = _______

45 / 58

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

46 / 58

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

47 / 58

Sum of the cube roots of unity is ________

48 / 58

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

49 / 58

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

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

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

53 / 58

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

54 / 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)

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

(9 + 4ω + 4ω² )³  =   _________

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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 2.8, 10th Class Math Notes Exercise 2.8

Notes for Class 10th Math

Math Notes Class 10, 10th class math notes, Math notes for class 10, math notes class 10 pdf, class 10 math notes pdf, 10th class math solution pdf free download, key book of mathematics 10th class Punjab text book board, math class 10 notes kpk board pdf, class 10 math notes pdf, math class 10 notes punjab board, math notes class 10 kpk board, math notes class 10 adamjee notes, math class 10 notes, 10th class math notes chapter 2, 10th class math solution chapter 2 pdf, math notes class 10 chapter 2, 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 10th Class. 10th Class Math key book pdf in urdu.

 

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