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

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

2 / 58

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

3 / 58

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

then Roots are _______

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

Cube Roots of 64 are _______

10 / 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)

11 / 58

Cube Roots of 8 are _________

12 / 58

\omega ^{4} = _______

13 / 58

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

14 / 58

Product of cube roots of unity is ___________

15 / 58

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

16 / 58

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

17 / 58

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

18 / 58

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

19 / 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)

20 / 58

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

21 / 58

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

22 / 58

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

23 / 58

Two Square Roots of unity are _________

24 / 58

Sum of the cube roots of unity is ________

25 / 58

Cube Roots of -27 are _________

26 / 58

(-1+\sqrt{-3})^{3} =  _____________

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

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

31 / 58

Cube Roots of "-1" are ______

32 / 58

(9 + 4ω + 4ω² )³  =   _________

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 x² - 3x + 3 = 0    is _________

36 / 58

(1 - 3ω -  3ω² )³ = _________

37 / 58

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

38 / 58

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

39 / 58

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

40 / 58

\omega ^{4} = _______

41 / 58

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

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

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

46 / 58

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

47 / 58

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

48 / 58

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

49 / 58

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

50 / 58

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

51 / 58

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

52 / 58

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

53 / 58

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

54 / 58

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

55 / 58

α² + β² is equal to ________

56 / 58

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

57 / 58

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

58 / 58

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

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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 10.1          (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)


Ex 12-Misc              (English)          (Urdu)


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Exercise 13.1          (English)          (Urdu)


Exercise 13.2          (English)          (Urdu)


Exercise 13.3          (English)          (Urdu)


Ex 13-Misc               (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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