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

Answer

Reciprocal

Answer

None of these

Answer

Irrational

Question 2

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

Question 3

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

Answer

Irrational

Answer

None of these

Answer

Reciprocal

Question 4

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

Question 5

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

Answer

5, 5 ω, 5 ω²

Answer

-5, -5 ω, -5 ω²

Answer

3,3 ω, 3 ω²

Answer

-3, -3 ω, -3 ω²

Question 6

6. 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 7

7. 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 8

8. 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 – x + ac² = 0

Answer

ab² – bx + c = 0

Answer

abx² – b²x + ac² = 0

Question 9

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

Answer

None of these

Answer

x = - a/2b

Answer

x = - b/2a

Question 10

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

Question 11

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

Answer

Exponential

Answer

Reciprocal

Question 12

12. 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 13

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

Question 14

14. 1+w+w² = ?

Answer

None of these

Question 15

15. [1 + √-3/2]⁹ + [1 - √-3/2]⁹ = ?

Question 16

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

Question 17

17. 3x² + 2x + 1 is a

Answer

Polynomial of degree 3

Answer

Polynomial of degree 2

Answer

Polynomial of degree n

Answer

Polynomial of degree 0

Question 18

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

Answer

x² – 6x + 11 = 0

Answer

x² – 11x + 6 = 0

Answer

x² – 6x – 11

Answer

3x² – 2x + 1 = 0

Question 19

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

Answer

None of these

Question 20

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

Question 21

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

Question 22

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

Question 23

23. The four fourth roots of unity are

Answer

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

Answer

-4, 4, -4i, 4i

Answer

-3, 3, -3i, 3i

Answer

-1,1, -i, i

Question 24

24. 7y2 + 5 √y + 3 is a polynomial over

Answer

Natural numbers

Answer

Rational number

Answer

None of these

Question 25

25. Cube roots of -64 are

Answer

-4, w, w²

Answer

-4, -4w, -4w²

Answer

4, 4w, 4w²

Question 26

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

Question 27

27. A polynomial having one term is called

Answer

None of these

Question 28

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

Answer

Exactly four roots

Answer

Infinitely many roots

Answer

Exactly two roots

Question 29

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

Question 30

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

Question 31

31. 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 32

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

Answer

b² – 4ac < 0

Answer

None of these

Answer

b² – 4ac = 0

Answer

b² – 4ac > 0

Question 33

33. 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 34

34. x² + 4x + 4 is

Answer

None of these

Answer

Polynomial

Question 35

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

Question 36

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

Question 37

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

Answer

None of these

Question 38

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

Answer

a = b = c = 0

Answer

b = 0, c = 0

Question 39

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

Question 40

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

Answer

Irrational

Question 41

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

Answer

None of these

Question 42

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

Question 43

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

Answer

None of these

Question 44

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

Question 45

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

Answer

p² + 4q = 0

Answer

q² + 4p = 0

Answer

q² - 4p = 0

Answer

p² - 4p = 0

Question 46

46. 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 47

47. 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 48

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

Question 49

49. 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

P(x) = (x – r)Q (x) + R

Answer

P(x) = (x – r)R + Q(x)

Answer

Q(x) = (x – r)P (x) + R

Answer

Q(x) = (x – r)R + P(x)

Question 50

50. The quadratic formula is

Question 51

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

Answer

Nothing can be said

Answer

Real and positive

Answer

Non-real with negative real parts

Answer

Real and negative

Question 52

52. The polynomial ax³ + bx² + 8 has degree

Answer

None of these

Question 53

53. w¹⁰⁹ = ?

Answer

[-1-√3/2]

Answer

[-1+i√3/2]

Question 54

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

Answer

a > 0, b > 0

Question 55

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

Answer

Depends upon b

Answer

Depends upon a

Answer

Depends upon a and b

Question 56

56. 3x⁴ + √5 x² + 3x + 1 is a polynomial of degree

Question 57

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

Answer

Polynomial of degree 2

Answer

Polynomial of degree n

Answer

Polynomial of degree 0

Answer

Polynomial of degree 3

Question 58

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

Answer

None of these

Question 59

59. 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 60

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

Answer

Irrational

Answer

Real & equal

Answer

Real & unequal

Question 61

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

Answer

>0 and is a perfect square

Question 62

62. 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 63

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

Question 64

64. x³ – 3x² + 2x – 6 has a factor

Answer 108

a ≠ 0, b ≠ 0

Answer 109

b – c/b + c

Answer 110

c – a/c + a

Answer 111

None of these

Answer 112

a – b/a + b

Answer 113

(-1, -4/5)

Answer 114

(-∞, -1)

Answer 115

None of these

Answer 116

x = 1, x = -6

Answer 117

x = -1, x = 6

Answer 118

None of these

Answer 119

Polynomial of degree 2

Answer 120

Polynomial of degree n

Answer 121

Polynomial of degree 3

Answer 122

Polynomial of degree 0

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