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

2 / 58

(1 - 3ω -  3ω² )³ = _________

3 / 58

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

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

Cube Roots of 64 are _______

8 / 58

\omega ^{4} = _______

9 / 58

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

10 / 58

Two Square Roots of unity are _________

11 / 58

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

12 / 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)

13 / 58

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

14 / 58

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

15 / 58

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

16 / 58

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

17 / 58

(-1+\sqrt{-3})^{3} =  _____________

18 / 58

α² + β² is equal to ________

19 / 58

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

20 / 58

\omega ^{4} = _______

21 / 58

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

22 / 58

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

23 / 58

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

24 / 58

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

25 / 58

Sum of the cube roots of unity is ________

26 / 58

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

27 / 58

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

28 / 58

Cube Roots of "-1" are ______

29 / 58

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

30 / 58

Cube Roots of -27 are _________

31 / 58

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

32 / 58

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

33 / 58

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

34 / 58

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

then Roots are _______

35 / 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)

36 / 58

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

37 / 58

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

38 / 58

Cube Roots of 8 are _________

39 / 58

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

40 / 58

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

41 / 58

(9 + 4ω + 4ω² )³  =   _________

42 / 58

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

43 / 58

Product of cube roots of unity is ___________

44 / 58

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

45 / 58

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

46 / 58

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

47 / 58

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

48 / 58

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

49 / 58

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

50 / 58

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

51 / 58

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

52 / 58

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

53 / 58

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

54 / 58

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

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

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


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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 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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Ex 8-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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