Mathematics Quadratic Equations Online Mcqs Test

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Question 1

1. The first degree function are called function

Answer

None of these

Question 2

2. The product of the roots of the equation 9x² – 5x – 27 = 0

Question 3

3. If x³ + ax + – a²x – a³ is divided by x + a, then the remainder is

Question 4

4. 7y2 + 5 √y + 3 is a polynomial over

Answer

Rational number

Answer

Natural numbers

Answer

None of these

Question 5

5. The four fourth roots of unity are

Answer

-1,1, -i, i

Answer

-3, 3, -3i, 3i

Answer

-2, -2, -2i, 2i

Answer

-4, 4, -4i, 4i

Question 6

6. The product of the roots of equation px² – tx + n = 0 is

Answer

None of these

Question 7

7. A root of equation x⁴ - 5x² + 4 = 0 is

Answer

None of these

Question 8

8. If 9x³ - 5x² is divided by 3x + 1, then the remainder is

Answer

None of these

Question 9

9. The solution set of x² + 4x – 437 = 0 is

Question 10

10. The quadratic equation with roots 2 - √3 and 2 + √3 is

Answer

x² + 4x + 1 = 0

Answer

x² - 6x + 6 = 0

Answer

x² - 4x + 1 = 0

Answer

x² - 6x – 6 = 0

Question 11

11. For S = Sum of roots and P = Product of roots, the quadratic equation is

Answer

x² – Sx – P = 0

Answer

x² – Sx + P = 0

Answer

x² + Sx – P = 0

Answer

x² + Sx + P = 0

Question 12

12. If the roots of ax² + bx + c = 0 are equal in magnitude but opposite in sign, then

Answer

None of these

Question 13

13. If the sum and product of the roots an equation are b/a, c²/b, then the quadratic equation is

Answer

x² – bx + ac

Answer

abx² – b²x + ac² = 0

Answer

ab² – bx + c = 0

Answer

abx² – x + ac² = 0

Question 14

14. For a quadratic equation ax² + bx + c = 0, the sum of roots is

Question 15

15. If a > 0, then function f(x) = ax² + bx + c has minimum value at

Answer

x = - b/2a

Answer

None of these

Answer

x = - a/2b

Question 16

16. If α, β are the roots of ax² + bx + c = 0, then roots of cx² + bx + a = 0 are

Answer

1/α, 1/β

Question 17

17. If the roots of p² + qx + 1 = 0 are equal, then

Answer

p² - 4p = 0

Answer

q² - 4p = 0

Answer

q² + 4p = 0

Answer

p² + 4q = 0

Question 18

18. x² + 4x + 4 is

Answer

None of these

Answer

Polynomial

Question 19

19. If a polynomial f(x) is divided by a linear divisor x + a, the remainder is

Question 20

20. If one root of the equation ix² – 2 (i + 1) x + (2 – i) = 0 is 2 – i, then the other root is

Question 21

21. The roots of the equation 2²x – 10.2x + 16 = 0 are

Question 22

22. If roots of a quadratic equation are equal then discriminant

Answer

>0 and is a perfect square

Question 23

23. If the roots of x² – 5x + a = 0 are equal, then a =

Answer

None of these

Question 24

24. Only one of the root of ax² + bx + c = 0, a ≠ 0, is zero if

Answer

b = 0, c = 0

Answer

c = 0, b ≠ 0

Answer

b = 0, c ≠ 0

Question 25

25. What should be added to 9x⁴ + 2x² + 25 to make it a perfect square?

Question 26

26. 1+w+w² = ?

Answer

None of these

Question 27

27. If S = the sum of the roots of the equation and P = product of the roots of the equation then their equation can be written as:

Answer

x² + Sx – P = 0

Answer

x² + Sx + P = 0

Answer

x² – Sx + P = 0

Answer

x² – Sx – P = 0

Question 28

28. The quadratic equation 8 sec²θ – 6 sec θ + 1 = 0 has

Answer

Infinitely many roots

Answer

Exactly two roots

Answer

Exactly four roots

Question 29

29. The value of p for which both the roots of the equation 4x² – 20 px + (25p² + 15p – 66) = 0 are less than 2, lies in

Answer

(-∞, -1)

Answer

(-1, -4/5)

Question 30

30. If α and β are the roots of x² – 2x + 3 = 0, then the equation with roots α + 2, β + 2 is

Answer

x² – 11x + 6 = 0

Answer

3x² – 2x + 1 = 0

Answer

x² – 6x – 11

Answer

x² – 6x + 11 = 0

Question 31

31. The polynomial ax³ + bx² + 8 has degree

Answer

None of these

Question 32

32. If for the quadratic equation ax² + bx + c = 0, the difference of the roots is the same as their product, then the ration of the roots is.

Answer

a – b/a + b

Answer

c – a/c + a

Answer

None of these

Answer

b – c/b + c

Question 33

33. 3x⁴ + √5 x² + 3x + 1 is a polynomial of degree

Question 34

34. If x – 2 is a factor of ax² – 12x + 4, then

Question 35

35. Both the roots of the equation (x – b)(x – c) + (x – c)(x – a) + (x – a)(x – b) = 0 are always

Answer

None of these

Question 36

36. Sum of the roots of equation ax² + bx + c = 0 is

Question 37

37. 3x² + 2x + 1 is a

Answer

Polynomial of degree 2

Answer

Polynomial of degree 0

Answer

Polynomial of degree 3

Answer

Polynomial of degree n

Question 38

38. If 2, 3 are roots of the equation 2x³ + mx² – 3x + n 0, then the value of m and n are.

Answer

None of these

Answer

–5, – 30

Question 39

39. Which is the root of the equation x⁴ - 9x³ + 6x² + 2 = 0?

Question 40

40. If x³ + 3x² - 6x + 2 is divided by x + 2, then the remainder is

Question 41

41. The condition for polynomial equation ax² + bx + c = 0 to be quadratic is

Answer

a ≠ 0, b ≠ 0

Question 42

42. Quadratic equation is an equation of degree

Question 43

43. If ax² + bx + c = 0 is satisfied by every value of x, then

Answer

b = 0, c = 0

Answer

a = b = c = 0

Question 44

44. If ω is the imaginary cube root of unity, then ω³ =

Question 45

45. If the roots of ax² + b = 0 are real and distinct then

Answer

a > 0, b > 0

Question 46

46. If n is a nonnegative integer, Then a₀xⁿ + …. + a₁x +a₀ is a

Answer

Polynomial of degree 3

Answer

Polynomial of degree n

Answer

Polynomial of degree 2

Answer

Polynomial of degree 0

Question 47

47. Which one is true?

Question 48

48. The quadratic formula is

Question 49

49. If x² - 7x + a has a remainder 1 when divided by x + 1, then

Question 50

50. If a > 0, b > 0, c > 0, then the roots of the equation ax² + bx + c = 0 are

Answer

Non-real with negative real parts

Answer

Nothing can be said

Answer

Real and negative

Answer

Real and positive

Question 51

51. If ω is the imaginary cube root of unity, then the cube rots of 125 are

Answer

5, 5 ω, 5 ω²

Answer

-3, -3 ω, -3 ω²

Answer

-5, -5 ω, -5 ω²

Answer

3,3 ω, 3 ω²

Question 52

52. ax⁴ + bx³ + cx² + bx + a = 0 is called _________ equation

Answer

Exponential

Answer

Reciprocal

Question 53

53. w¹⁰⁹ = ?

Answer

[-1-√3/2]

Answer

[-1+i√3/2]

Question 54

54. [1 + √-3/2]⁹ + [1 - √-3/2]⁹ = ?

Question 55

55. Which statement is true about the discriminant of the quadratic equation cx² + dx + e = 0 when c ≠ 0?

Answer

None of these

Answer

d² – 4ce

Question 56

56. x³ – 3x² + 2x – 6 has a factor

Question 57

57. If the roots of 3x² + kx + 12 = 0 are equal, then k =

Question 58

58. The roots of the quadratic equation ax2 + bx + c = 0 are real and distinct if.

Answer

None of these

Answer

b² – 4ac < 0

Answer

b² – 4ac > 0

Answer

b² – 4ac = 0

Question 59

59. The solution of a quadratic equation x² + 5x – 6 = 0

Answer

x = -1, x = 6

Answer

x = 1, x = -6

Question 60

60. A polynomial having one term is called

Answer

None of these

Question 61

61. The nature of the roots of equation 9x² -5x + 3 = 0

Answer

Real & unequal

Answer

Irrational

Answer

Real & equal

Question 62

62. The roots of the quadratic equation 2x² – 5x + 3 – 0 are

Answer

Irrational

Question 63

63. The value of a for which the sum of the squares of the roots of the equation x² – (a – 2) x – 1 = 0 assume the least value is

Question 64

64. The quadratic equation whose roots are α β is

Answer

x² - (α + β)x + αβ = 0

Answer

x² + (α + β)x - αβ = 0

Answer

x² - (α + β)x - αβ = 0

Answer

x² + (α + β)x + αβ = 0

Answer 103

-4, -4w, -4w²

Answer 104

-4, w, w²

Answer 105

4, 4w, 4w²

Answer 106

Depends upon a

Answer 107

Depends upon b

Answer 108

Depends upon a and b

Answer 109

None of these

Answer 110

None of these

Answer 111

Irrational

Answer 112

Reciprocal

Answer 113

Polynomial of degree 3

Answer 114

Polynomial of degree 0

Answer 115

Polynomial of degree n

Answer 116

Polynomial of degree 2

Answer 117

P(x) = (x – r)Q (x) + R

Answer 118

Q(x) = (x – r)R + P(x)

Answer 119

P(x) = (x – r)R + Q(x)

Answer 120

Q(x) = (x – r)P (x) + R

Answer 121

Reciprocal

Answer 122

Irrational

Answer 123

None of these

Total Questions:	79
Time Allowed:	40 Minutes
Total Marks:	79
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Important Math Quadratic Equations Question and Answer

Math Quadratic Equations Practice Test Online With Explanation

Math

Physics

How to Score High in Mathematics Quadratic Equations Online Mcqs Test?

Key Preparation Tips:

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Maan Ali

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