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

2 / 58

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

3 / 58

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

4 / 58

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

5 / 58

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

6 / 58

(9 + 4ω + 4ω² )³  =   _________

7 / 58

Cube Roots of -27 are _________

8 / 58

Sum of the cube roots of unity is ________

9 / 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)

10 / 58

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

11 / 58

Cube Roots of 8 are _________

12 / 58

\omega ^{4} = _______

13 / 58

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

14 / 58

α² + β² is equal to ________

15 / 58

Cube Roots of 64 are _______

16 / 58

(1 - 3ω -  3ω² )³ = _________

17 / 58

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

18 / 58

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

then Roots are _______

19 / 58

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

20 / 58

Cube Roots of "-1" are ______

21 / 58

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

22 / 58

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

23 / 58

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

24 / 58

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

25 / 58

(-1+\sqrt{-3})^{3} =  _____________

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

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

31 / 58

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

32 / 58

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

33 / 58

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

34 / 58

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

35 / 58

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

36 / 58

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

37 / 58

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

38 / 58

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

39 / 58

\omega ^{4} = _______

40 / 58

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

41 / 58

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

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

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

46 / 58

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

47 / 58

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

48 / 58

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

49 / 58

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

50 / 58

Two Square Roots of unity are _________

51 / 58

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

52 / 58

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

53 / 58

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

54 / 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)

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

Product of cube roots of unity 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)


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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)


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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 10.2          (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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