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

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

2 / 58

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

3 / 58

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

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

(-1+\sqrt{-3})^{3} =  _____________

9 / 58

Product of cube roots of unity is ___________

10 / 58

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

11 / 58

Cube Roots of "-1" are ______

12 / 58

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

13 / 58

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

14 / 58

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

15 / 58

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

16 / 58

Cube Roots of 8 are _________

17 / 58

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

18 / 58

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

19 / 58

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

20 / 58

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

21 / 58

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

22 / 58

Cube Roots of -27 are _________

23 / 58

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

24 / 58

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

25 / 58

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

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

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

30 / 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)

31 / 58

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

32 / 58

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

33 / 58

(1 - 3ω -  3ω² )³ = _________

34 / 58

Cube Roots of 64 are _______

35 / 58

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

36 / 58

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

37 / 58

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

then Roots are _______

38 / 58

\omega ^{4} = _______

39 / 58

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

40 / 58

Two Square Roots of unity are _________

41 / 58

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

42 / 58

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

43 / 58

Sum of the cube roots of unity is ________

44 / 58

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

45 / 58

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

46 / 58

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

47 / 58

\omega ^{4} = _______

48 / 58

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

49 / 58

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

50 / 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)

51 / 58

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

52 / 58

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

53 / 58

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

54 / 58

(9 + 4ω + 4ω² )³  =   _________

55 / 58

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

56 / 58

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

57 / 58

α² + β² is equal to ________

58 / 58

Roots of any quadratic equation determined as Imaginary, as its Discriminant 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)


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Ex 9-Misc              (English)          (Urdu)


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Exercise 10.1          (English)          (Urdu)


Exercise 10.2          (English)          (Urdu)


Exercise 10.3          (English)          (Urdu)


Ex 10-Misc               (English)          (Urdu)


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Exercise 11.1          (English)          (Urdu)


Ex 11-Misc              (English)          (Urdu)


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Exercise 12.1          (English)          (Urdu)


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Exercise 13.1          (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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