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

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

2 / 58

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

3 / 58

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

4 / 58

Cube Roots of "-1" are ______

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

Product of cube roots of unity is ___________

10 / 58

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

11 / 58

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

12 / 58

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

13 / 58

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

14 / 58

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

15 / 58

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

16 / 58

(-1+\sqrt{-3})^{3} =  _____________

17 / 58

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

18 / 58

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

19 / 58

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

20 / 58

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

21 / 58

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

22 / 58

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

23 / 58

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

24 / 58

Cube Roots of 64 are _______

25 / 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)

26 / 58

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

27 / 58

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

28 / 58

α² + β² is equal to ________

29 / 58

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

30 / 58

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

31 / 58

\omega ^{4} = _______

32 / 58

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

33 / 58

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

34 / 58

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

35 / 58

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

36 / 58

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

37 / 58

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

38 / 58

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

39 / 58

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

40 / 58

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

then Roots are _______

41 / 58

Sum of the cube roots of unity is ________

42 / 58

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

43 / 58

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

44 / 58

(1 - 3ω -  3ω² )³ = _________

45 / 58

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

46 / 58

Cube Roots of -27 are _________

47 / 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)

48 / 58

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

49 / 58

\omega ^{4} = _______

50 / 58

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

51 / 58

(9 + 4ω + 4ω² )³  =   _________

52 / 58

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

53 / 58

Two Square Roots of unity are _________

54 / 58

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

55 / 58

Cube Roots of 8 are _________

56 / 58

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

57 / 58

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

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)


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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 6.2          (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)


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Exercise 8.1          (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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