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 irrational and distinct, then Discriminant is ________

2 / 58

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

3 / 58

\omega ^{4} = _______

4 / 58

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

5 / 58

\omega ^{4} = _______

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

α² + β² is equal to ________

10 / 58

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

11 / 58

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

12 / 58

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

13 / 58

Cube Roots of "-1" are ______

14 / 58

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

15 / 58

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

16 / 58

Cube Roots of 64 are _______

17 / 58

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

18 / 58

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

19 / 58

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

20 / 58

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

21 / 58

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

22 / 58

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

then Roots are _______

23 / 58

(9 + 4ω + 4ω² )³  =   _________

24 / 58

Product of cube roots of unity is ___________

25 / 58

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

26 / 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)

27 / 58

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

28 / 58

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

29 / 58

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

30 / 58

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

31 / 58

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

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

(1 - 3ω -  3ω² )³ = _________

35 / 58

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

36 / 58

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

37 / 58

Cube Roots of 8 are _________

38 / 58

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

39 / 58

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

40 / 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)

41 / 58

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

42 / 58

Cube Roots of -27 are _________

43 / 58

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

44 / 58

Sum of the cube roots of unity is ________

45 / 58

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

46 / 58

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

47 / 58

(-1+\sqrt{-3})^{3} =  _____________

48 / 58

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

51 / 58

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

52 / 58

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

53 / 58

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

54 / 58

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

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

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


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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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Exercise 9.1          (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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