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

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

2 / 58

Cube Roots of 64 are _______

3 / 58

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

4 / 58

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

5 / 58

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

6 / 58

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

7 / 58

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

8 / 58

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

9 / 58

(-1+\sqrt{-3})^{3} =  _____________

10 / 58

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

11 / 58

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

12 / 58

(9 + 4ω + 4ω² )³  =   _________

13 / 58

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

14 / 58

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

15 / 58

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

16 / 58

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

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

19 / 58

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

20 / 58

α² + β² is equal to ________

21 / 58

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

22 / 58

(1 - 3ω -  3ω² )³ = _________

23 / 58

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

24 / 58

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

25 / 58

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

26 / 58

\omega ^{4} = _______

27 / 58

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

28 / 58

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

29 / 58

\omega ^{4} = _______

30 / 58

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

31 / 58

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

32 / 58

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

33 / 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)

34 / 58

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

35 / 58

Two Square Roots of unity are _________

36 / 58

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

37 / 58

Cube Roots of -27 are _________

38 / 58

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

39 / 58

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

40 / 58

Cube Roots of "-1" are ______

41 / 58

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

42 / 58

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

43 / 58

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

44 / 58

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

45 / 58

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

46 / 58

Sum of the cube roots of unity is ________

47 / 58

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

48 / 58

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

then Roots are _______

49 / 58

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

50 / 58

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

51 / 58

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

52 / 58

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

53 / 58

Product of cube roots of unity is ___________

54 / 58

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

55 / 58

Cube Roots of 8 are _________

56 / 58

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

57 / 58

The discriminant of    ax² + bx + c = 0   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)


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)


Online Practice/ Test - MCQs & Short Questions

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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