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

2 / 58

\omega ^{4} = _______

3 / 58

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

4 / 58

(9 + 4ω + 4ω² )³  =   _________

5 / 58

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

6 / 58

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

7 / 58

Sum of the cube roots of unity is ________

8 / 58

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

9 / 58

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

10 / 58

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

11 / 58

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

12 / 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)

13 / 58

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

14 / 58

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

15 / 58

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

16 / 58

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

17 / 58

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

18 / 58

(1 - 3ω -  3ω² )³ = _________

19 / 58

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

20 / 58

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

21 / 58

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

22 / 58

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

23 / 58

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

24 / 58

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

25 / 58

Cube Roots of 8 are _________

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

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

31 / 58

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

32 / 58

α² + β² is equal to ________

33 / 58

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

34 / 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)

35 / 58

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

then Roots are _______

36 / 58

Product of cube roots of unity is ___________

37 / 58

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

38 / 58

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

39 / 58

(-1+\sqrt{-3})^{3} =  _____________

40 / 58

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

41 / 58

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

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

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

46 / 58

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

47 / 58

\omega ^{4} = _______

48 / 58

Cube Roots of "-1" are ______

49 / 58

Two Square Roots of unity are _________

50 / 58

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

51 / 58

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

52 / 58

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

53 / 58

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

54 / 58

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

55 / 58

Cube Roots of -27 are _________

56 / 58

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

57 / 58

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

58 / 58

Cube Roots of 64 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)


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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)


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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)


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Exercise 5.1          (English)          (Urdu)


Exercise 5.2          (English)          (Urdu)


Exercise 5.3          (English)          (Urdu)


Exercise 5.4          (English)          (Urdu)


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Ex 5-Misc              (English)          (Urdu)


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Exercise 6.1          (English)          (Urdu)


Exercise 6.2          (English)          (Urdu)


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Ex 6-Misc              (English)          (Urdu)


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Exercise 7.1          (English)          (Urdu)


Exercise 7.2          (English)          (Urdu)


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Exercise 8.1          (English)          (Urdu)


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Exercise 9.1          (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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