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

2 / 58

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

3 / 58

(-1+\sqrt{-3})^{3} =  _____________

4 / 58

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

5 / 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)

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

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

10 / 58

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

11 / 58

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

then Roots are _______

12 / 58

Two Square Roots of unity are _________

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

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

15 / 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)

16 / 58

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

17 / 58

α² + β² is equal to ________

18 / 58

(9 + 4ω + 4ω² )³  =   _________

19 / 58

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

20 / 58

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

21 / 58

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

22 / 58

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

23 / 58

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

24 / 58

(1 - 3ω -  3ω² )³ = _________

25 / 58

Cube Roots of 64 are _______

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

Cube Roots of 8 are _________

31 / 58

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

32 / 58

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

33 / 58

\omega ^{4} = _______

34 / 58

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

35 / 58

Product of cube roots of unity is ___________

36 / 58

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

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 ^{-5} = _______

39 / 58

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

40 / 58

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

41 / 58

Cube Roots of -27 are _________

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

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

46 / 58

Sum of the cube roots of unity is ________

47 / 58

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

48 / 58

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

49 / 58

\omega ^{4} = _______

50 / 58

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

51 / 58

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

52 / 58

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

53 / 58

Cube Roots of "-1" are ______

54 / 58

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

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

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

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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)


Online Practice/ Test - MCQs & Short Questions

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)


Exercise 8.2         (English)          (Urdu)


Ex 8-Misc             (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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