Mathematics Quadratic Equations Online Mcqs Test

Q: How can I prepare for Mathematics Quadratic Equations Online Mcqs Test?

You can prepare for Mathematics Quadratic Equations Online Mcqs Test by attempting the free online quizzes at Gotest.com.pk. We provide instant results, performance reports, and detailed explanations for every question.

Question 1

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

Answer

None of these

Question 2

2. Quadratic equation is an equation of degree

Question 3

3. If x⁴ – 3x + 5 is divided by 2x – 1, then the remainder is

Question 4

4. 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 5

5. Two square roots of the unity are

Question 6

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

Question 7

7. x³ – 3x² + 2x – 6 has a factor

Question 8

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

Answer

a ≠ 0, b ≠ 0

Question 9

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

Answer

None of these

Question 10

10. 3x² + 2x + 1 is a

Answer

Polynomial of degree n

Answer

Polynomial of degree 0

Answer

Polynomial of degree 3

Answer

Polynomial of degree 2

Question 11

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

Answer

b = 0, c = 0

Answer

b = 0, c ≠ 0

Answer

c = 0, b ≠ 0

Question 12

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

Answer

x² - 4x + 1 = 0

Answer

x² + 4x + 1 = 0

Answer

x² - 6x + 6 = 0

Answer

x² - 6x – 6 = 0

Question 13

13. Cube roots of -64 are

Answer

-4, w, w²

Answer

-4, -4w, -4w²

Answer

4, 4w, 4w²

Question 14

14. 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 15

15. The first degree function are called function

Answer

None of these

Question 16

16. w¹⁰⁹ = ?

Answer

[-1-√3/2]

Answer

[-1+i√3/2]

Question 17

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

Question 18

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

Question 19

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

Answer

None of these

Question 20

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

Question 21

21. The quadratic formula is

Question 22

22. If one root of the equation ax² + bx + c = 0, a ≠ 0, be reciprocal of the other, then

Question 23

23. If x² + 6x – 27 > 0 and – x² + 3x + 4 > 0, the x lies in the interval.

Question 24

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

Answer

Polynomial of degree n

Answer

Polynomial of degree 3

Answer

Polynomial of degree 0

Answer

Polynomial of degree 2

Question 25

25. The roots of (x – a)(x – b) = ab x² are always

Answer

Depends upon a

Answer

Depends upon a and b

Answer

Depends upon b

Question 26

26. 3x⁴ + √5 x² + 3x + 1 is a polynomial of degree

Question 27

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

Answer

abx² – x + ac² = 0

Answer

abx² – b²x + ac² = 0

Answer

x² – bx + ac

Answer

ab² – bx + c = 0

Question 28

28. 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 29

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

Answer

Exponential

Answer

Reciprocal

Question 30

30. If α, β are non-real roots of ax² + bx + c = 0 (a, b, c ϵ Q), then

Question 31

31. The polynomial ax³ + bx² + 8 has degree

Answer

None of these

Question 32

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

Answer

Exactly four roots

Answer

Infinitely many roots

Answer

Exactly two roots

Question 33

33. For a quadratic equation ax² + bx + c sum of the root is

Answer

None of these

Question 34

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

Question 35

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

Answer

x = 1, x = -6

Answer

x = -1, x = 6

Question 36

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

Question 37

37. 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 38

38. [1 + √-3/2]⁹ + [1 - √-3/2]⁹ = ?

Question 39

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

Question 40

40. If one root of the equation x² – 3x + a = 0 is 2, then

Question 41

41. If P(x) is divided by x – r such that Q(x) is the quotient and R is the remainder, then the division algorithm is

Answer

Q(x) = (x – r)R + P(x)

Answer

P(x) = (x – r)R + Q(x)

Answer

Q(x) = (x – r)P (x) + R

Answer

P(x) = (x – r)Q (x) + R

Question 42

42. 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 43

43. 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 44

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

Question 45

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

Answer

a > 0, b > 0

Question 46

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

Answer

Nothing can be said

Answer

Non-real with negative real parts

Answer

Real and positive

Answer

Real and negative

Question 47

47. 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

None of these

Answer

a – b/a + b

Answer

b – c/b + c

Answer

c – a/c + a

Question 48

48. What is the type of equation 14(x⁴+1) – 7(x³ + x) + 8x² = 0?

Answer

None of these

Answer

Reciprocal

Answer

Irrational

Question 49

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

Answer

b² – 4ac > 0

Answer

b² – 4ac < 0

Answer

b² – 4ac = 0

Answer

None of these

Question 50

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

Answer

a = b = c = 0

Answer

b = 0, c = 0

Question 51

51. Name the type of equation √x+a + √x+b = e√ex+d

Answer

None of these

Answer

Irrational

Answer

Reciprocal

Question 52

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

Answer

Irrational

Question 53

53. 7y2 + 5 √y + 3 is a polynomial over

Answer

Natural numbers

Answer

Rational number

Answer

None of these

Question 54

54. If a polynomial f(x) is divided by a linear divisor ax + 1, the remainder is

Question 55

55. x² + 4x + 4 is

Answer

Polynomial

Answer

None of these

Question 56

56. 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

Question 57

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

Question 58

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

Answer

None of these

Question 59

59. Which one is true?

Question 60

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

Answer

-3, -3 ω, -3 ω²

Answer

3,3 ω, 3 ω²

Answer

5, 5 ω, 5 ω²

Answer

-5, -5 ω, -5 ω²

Question 61

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

Answer

d² – 4ce

Answer

None of these

Question 62

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

Question 63

63. 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 64

64. 3 x 2 + 2x + 1 is a

Answer

Polynomial of degree n

Answer

Polynomial of degree 3

Answer

Polynomial of degree 0

Answer

Polynomial of degree 2

Answer 106

None of these

Answer 107

None of these

Answer 108

Real & equal

Answer 109

Real & unequal

Answer 110

Irrational

Answer 111

p² + 4q = 0

Answer 112

q² + 4p = 0

Answer 113

p² - 4p = 0

Answer 114

q² - 4p = 0

Answer 115

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

Answer 116

-1,1, -i, i

Answer 117

-4, 4, -4i, 4i

Answer 118

-3, 3, -3i, 3i

Answer 119

>0 and is a perfect square

Answer 120

1/α, 1/β

Answer 121

–5, – 30

Answer 122

None of these

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.
Test Helpful For:	ECAT Entry Test Math Online Test Interview Questions about Math All Universities Entrance Test Recruitments Tests

Mathematics Quadratic Equations Online Mcqs Test

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:

More Related Resources

Maan Ali

13 Comments

Leave a Reply Cancel reply

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:

More Related Resources

Latest Updates

Maan Ali

13 Comments

Leave a Reply Cancel reply