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

Two Square Roots of unity are _________

2 / 58

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

3 / 58

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

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

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

10 / 58

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

11 / 58

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

12 / 58

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

13 / 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)

14 / 58

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

15 / 58

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

16 / 58

(-1+\sqrt{-3})^{3} =  _____________

17 / 58

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

18 / 58

(1 - 3ω -  3ω² )³ = _________

19 / 58

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

20 / 58

Sum of the cube roots of unity is ________

21 / 58

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

22 / 58

Cube Roots of 64 are _______

23 / 58

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

24 / 58

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

25 / 58

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

26 / 58

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

27 / 58

Cube Roots of -27 are _________

28 / 58

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

29 / 58

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

30 / 58

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

then Roots are _______

31 / 58

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

32 / 58

(9 + 4ω + 4ω² )³  =   _________

33 / 58

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

34 / 58

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

35 / 58

Cube Roots of 8 are _________

36 / 58

\omega ^{4} = _______

37 / 58

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

38 / 58

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

39 / 58

Product of cube roots of unity is ___________

40 / 58

α² + β² is equal to ________

41 / 58

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

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

\omega ^{4} = _______

46 / 58

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

47 / 58

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

48 / 58

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

49 / 58

Cube Roots of "-1" are ______

50 / 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)

51 / 58

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

52 / 58

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

53 / 58

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

54 / 58

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

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

The Sum of five times a number and the square of the number 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)


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)


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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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