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

(9 + 4ω + 4ω² )³  =   _________

2 / 58

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

3 / 58

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

4 / 58

α² + β² is equal to ________

5 / 58

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

6 / 58

(-1+\sqrt{-3})^{3} =  _____________

7 / 58

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

8 / 58

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

9 / 58

Sum of the cube roots of unity is ________

10 / 58

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

11 / 58

\omega ^{4} = _______

12 / 58

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

13 / 58

Two Square Roots of unity are _________

14 / 58

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

15 / 58

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

16 / 58

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

17 / 58

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

18 / 58

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

19 / 58

Cube Roots of -27 are _________

20 / 58

Cube Roots of 8 are _________

21 / 58

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

22 / 58

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

23 / 58

Cube Roots of "-1" are ______

24 / 58

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

25 / 58

Cube Roots of 64 are _______

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

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

31 / 58

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

32 / 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)

33 / 58

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

34 / 58

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

35 / 58

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

36 / 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)

37 / 58

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

38 / 58

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

39 / 58

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

40 / 58

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

41 / 58

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

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

\omega ^{4} = _______

46 / 58

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

47 / 58

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

48 / 58

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

49 / 58

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

50 / 58

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

51 / 58

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

52 / 58

(1 - 3ω -  3ω² )³ = _________

53 / 58

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

54 / 58

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

55 / 58

Product of cube roots of unity is ___________

56 / 58

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

57 / 58

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

then Roots are _______

58 / 58

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

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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)


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)


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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)


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Ex 7-Misc               (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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