10th Class Math MCQs Chapter-02

Theory of Quadratic Equation

Theory of Quadratic Equations

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10th Class Math MCQs Chapter-02

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Math Ch#02, 10th Class

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1 / 58

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

2 / 58

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

then Roots are _______

3 / 58

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

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

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

10 / 58

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

11 / 58

Two Square Roots of unity are _________

12 / 58

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

13 / 58

\omega ^{4} = _______

14 / 58

Sum of the cube roots of unity is ________

15 / 58

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

16 / 58

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

17 / 58

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

18 / 58

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

19 / 58

\omega ^{4} = _______

20 / 58

Cube Roots of "-1" are ______

21 / 58

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

22 / 58

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

23 / 58

Cube Roots of -27 are _________

24 / 58

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

25 / 58

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

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

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

31 / 58

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

32 / 58

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

33 / 58

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

34 / 58

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

35 / 58

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

36 / 58

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

37 / 58

Product of cube roots of unity is ___________

38 / 58

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

39 / 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)

40 / 58

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

41 / 58

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

42 / 58

α² + β² is equal to ________

43 / 58

(-1+\sqrt{-3})^{3} =  _____________

44 / 58

(9 + 4ω + 4ω² )³  =   _________

45 / 58

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

46 / 58

(1 - 3ω -  3ω² )³ = _________

47 / 58

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

48 / 58

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

49 / 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)

50 / 58

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

51 / 58

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

52 / 58

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

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

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

56 / 58

Cube Roots of 8 are _________

57 / 58

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

58 / 58

The discriminant of    ax² + bx + c = 0   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)


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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)


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Exercise 6.1          (English)          (Urdu)


Exercise 6.2          (English)          (Urdu)


Exercise 6.3          (English)          (Urdu)


Ex 6-Misc              (English)          (Urdu)


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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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Exercise 8.1          (English)          (Urdu)


Exercise 8.2         (English)          (Urdu)


Ex 8-Misc             (English)          (Urdu)


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Exercise 9.1          (English)          (Urdu)


Exercise 9.2         (English)          (Urdu)


Ex 9-Misc              (English)          (Urdu)


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Exercise 10.2          (English)          (Urdu)


Exercise 10.3          (English)          (Urdu)


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10th Class Math Solution:

The importance of mathematics study in every class is important for students, such like students of 9th Class & 10th Class or other classes. If we talk Matric Classes Student of Science Classes or Arts classes, Math is equally important for both Classes.

Every Student of 9th & 10th Class is trying to search the topic like “9th Class math solution pdf”, 10th Class Math Solution PDF”, 10th Class Math MCQs Chapter-02, 10th Class Math Notes Chapter-02.

 

Class 10 Mathematics  Chapter-Wise MCQs

Chapter-01: Quadratic Equations

Chapter-02: Theory of Quadratic Equations

Chapter-03: Variations

Chapter-04: Partial Fractions

Chapter-05: Sets & Functions

Chapter-06: Basic Statistics

Chapter-07: Introduction to Trigonometry

Chapter-08: Projection of a side of a Triangle

Chapter-09: Chords of a Circle

Chapter-10: Tangent to a Circle

Chapter-11: Chords and Arcs

Chapter-12: Angle in a Segment of a Circle

Chapter-13: Practical Geometry-Circles

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