Theory of Quadratic Equation

Theory of Quadratic Equations

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10th Class Math MCQs Chapter-02

MCQs from Text Book Exercise and others included in this Practice panel . By practicing again and again, Student can get good practice on this topic “Theory of Quadratic Equation”, 10th Class Math MCQs Chapter-02.

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Math Ch#02, 10th Class

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1 / 58

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

2 / 58

Cube Roots of 64 are _______

3 / 58

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

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

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

10 / 58

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

11 / 58

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

then Roots are _______

12 / 58

Sum of the cube roots of unity is ________

13 / 58

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

14 / 58

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

15 / 58

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

16 / 58

(1 - 3ω -  3ω² )³ = _________

17 / 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)

18 / 58

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

19 / 58

\omega ^{4} = _______

20 / 58

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

21 / 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)

22 / 58

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

23 / 58

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

24 / 58

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

25 / 58

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

26 / 58

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

27 / 58

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

28 / 58

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

29 / 58

(-1+\sqrt{-3})^{3} =  _____________

30 / 58

Product of cube roots of unity is ___________

31 / 58

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

32 / 58

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

33 / 58

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

34 / 58

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

35 / 58

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

36 / 58

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

37 / 58

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

38 / 58

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

39 / 58

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

40 / 58

Cube Roots of 8 are _________

41 / 58

Two Square Roots of unity are _________

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

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

46 / 58

α² + β² is equal to ________

47 / 58

\omega ^{4} = _______

48 / 58

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

49 / 58

Cube Roots of -27 are _________

50 / 58

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

51 / 58

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

52 / 58

Cube Roots of "-1" are ______

53 / 58

(9 + 4ω + 4ω² )³  =   _________

54 / 58

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

55 / 58

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

56 / 58

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

57 / 58

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

58 / 58

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

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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)


Online Practice/ Test - MCQs & Short Questions


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)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1          (English)          (Urdu)


Exercise 6.2          (English)          (Urdu)


Exercise 6.3          (English)          (Urdu)


Ex 6-Misc              (English)          (Urdu)


Online Practice/ Test - MCQs & Short Questions

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)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1          (English)          (Urdu)


Exercise 8.2         (English)          (Urdu)


Ex 8-Misc             (English)          (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1          (English)          (Urdu)


Exercise 9.2         (English)          (Urdu)


Ex 9-Misc              (English)          (Urdu)


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Exercise 10.1          (English)          (Urdu)


Exercise 10.2          (English)          (Urdu)


Exercise 10.3          (English)          (Urdu)


Ex 10-Misc               (English)          (Urdu)


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Exercise 11.1          (English)          (Urdu)


Ex 11-Misc              (English)          (Urdu)


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Exercise 12.1          (English)          (Urdu)


Ex 12-Misc              (English)          (Urdu)


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Exercise 13.1          (English)          (Urdu)


Exercise 13.2          (English)          (Urdu)


Exercise 13.3          (English)          (Urdu)


Ex 13-Misc               (English)          (Urdu)


Online Practice/ Test - MCQs & Short Questions


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

10th Math 2021 Pairing Scheme – Assessment

 

 

 

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