Mathematics Partial Fractions Online Test

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Question 1

1. Partial fractions of x²+1/x²+1 will be of the form

Answer

A/x+1 + Bx+C/x²-x+1

Answer

A/x+1 – B/x²-x+1

Answer

A/x-1 – B/x²-x+1

Answer

None of these

Question 2

2. Algebric equation can be divided into

Answer

Three kinds

Answer

Four kinds

Question 3

3. x + 3/x = 4 is

Answer

Cubic equation

Answer

A transcendental equation

Answer

An identity

Answer

An equation

Question 4

4. 2x²-3x+4/(x+1)³ =

Answer

2/x+1 – 7/(x+1)² + 9/(x+1)³

Answer

2/x-1 – 7/(x-1)² + 9/(x-1)³

Answer

2/x+1 – 7/(x+1)² + 9/(x-1)³

Answer

2/x-1 – 7/(x+1)² + 9/(x+1)³

Question 5

5. x-1/(x+2)(x-2) = ?

Answer

3/x – 2/x+1

Answer

3/4(x+2) + 1/4(x-2)

Answer

4/3(x-2) + 4/3(x+2)

Answer

4/3(x-4) + 1/3(x-1)

Question 6

6. There are _________ types of rational fraction.

Question 7

7. If the roots of x² + ax + b = 0 are non-real, then for all real x, x² + ax + b is

Answer

Nothing can be said

Question 8

8. The function of the form f(x) = p(x)/q(x) q(x) ≠ 0 where P(x) and q(x) are polynomial in x is called

Answer

Algebric relation

Question 9

9. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = -1, B = 1

Answer

A = 0, B = 2

Answer

A = x, B = 1

Answer

A = x-1, B = x + 1

Question 10

10. 9x²/x³¯¹ is a fraction.

Answer

Proper fraction

Answer

None of these

Answer

Improper fraction

Answer

Rational fraction

Question 11

11. The partial fraction of 1/x²–1 is

Answer

1/2(x–1) – 1/2(x+1)

Answer

1/2(x–1) + 1/2(x+1)

Question 12

12. Partial fraction of x³+2x+2/(x²+x+1)² form

Answer

None of these

Answer

(Ax+B)(x²+x+1)+C(x²+x+1)²

Answer

A/x²+x+1 + B/(x²+x+1)²

Answer

Ax+B/x²+x+1 + Cx+D/(x²+x+1)

Question 13

13. Partial fractions of x/(x+a)(x+b)(x+c) will be of the form

Answer

A/x+a + B/x+b + C/x+c

Answer

A/x-a + B/x+b + C/x+c

Answer

A/x-a + B/x-b + C/x+c

Answer

None of these

Question 14

14. The symbol _________ shall be used both for equation and identity

Question 15

15. 2x-5/x²+4 is ___________ rational fraction

Answer

Conditional

Answer

None of these

Question 16

16. 2x = 3 is a conditional equation it is true for

Question 17

17. A fraction in which degree of numerator is greater than or equal to the degree of denominator is called

Answer

Algebric equation

Answer

A proper fraction

Answer

Improper fraction

Question 18

18. The value of k (k > 0) for which the equation x² – 8x + k = 0 both will have real roots is

Question 19

19. (x – 4)² = x² + 8x + 16 is

Answer

An equation

Answer

An identity

Answer

Cubic equation

Answer

A transcendental equation

Question 20

20. To resolve a combined fraction into its pars is called

Answer

Partial fraction

Answer

None of these

Answer

Rational fraction

Answer

Combined fraction

Question 21

21. Partial fractions of 1/(x + 1)(x² – 1)

Answer

A/x+1 + B/x+1 + C/x-1

Answer

None of these

Answer

A/x+1 + Bx+0/x²-1

Answer

A/x+1 + B/(x+1)² + C/x-1

Question 22

22. The rational fraction P(x)/Q(x) is a proper fraction if

Answer

Degree of P(x)< degree of Q(x)

Answer

Degree of P(x) = degree of Q(x)

Answer

Degree of Q(x)< degree of P(x)

Answer

None of these

Question 23

23. When two or more rational fractions are added, resulting fraction is called

Answer

Improper fraction

Answer

Partial fraction

Answer

Combined fraction

Answer

None of these

Question 24

24. Let the equation ax² – bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

Question 25

25. The number of solutions of the equation √y+3 + √y = 1 is

Question 26

26. x² + x – 6 = 0 is a conditional equation and it is true for

Question 27

27. An improper fraction can be reduced to proper fraction by

Answer

Multiplication

Answer

Subtraction

Question 28

28. The index of variables in a poly nomial is called its

Answer

Co-efficient

Question 29

29. (x – 4)² = x² – 8x + 16 is

Answer

Identity equation

Answer

An equation

Answer

Transcendental Equation

Answer

Cubic equation

Question 30

30. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = x, B = 1

Answer

A = 0, B = 2

Answer

A = x – 1, B = x + 1

Answer

A = -1, B = 1

Question 31

31. If a + b + c = 0, a ≠ 0, a, b, c ϵ Q, then both the roots of the equation ax² + bx + c = 0 are

Answer

Irrational

Question 32

32. 1/(x²+5)(x²+5) =

Answer

1/x²+4 – 1/x²+5

Answer

None of these

Answer

1/x²-4 – 1/x²+5

Answer

1/x²+4 – 1/x²-5

Question 33

33. x/(x+2)(x–3)

Answer

2/5(x+2) + 3/5(x–3)

Answer

2/5(x–2) + 3/5(x+3)

Answer

2/5(x+2) – 3/5(x–3)

Answer

2/5(x+2) – 3/5(x+3)

Question 34

34. Partial fractions of 1/x³+1 will be of the form

Answer

A/x-1 – B/x²-x+1

Answer

A/x+1 – B/x²-x+1

Answer

A/x+1 + Bx+C/x²-x+1

Answer

Ax+B/x+1 + C/x²-x+1

Question 35

35. A relation in which equality is true for any value of unknown is called an

Answer

Algebric equation

Answer

None of these

Question 36

36. 4x = 5 is ?

Answer

Conditional

Question 37

37. ax+b/(cx + d)(ex +f) =

Answer

A/cx+d + Bx/(ex+f)²

Answer

None of these

Answer

Ax+B/cx+d + C/ex+f

Answer

A/cx+d + bx/ex+f

Question 38

38. If sin θ and cos θ are the roots of the equation ax² + bx + c = 0, then

Answer

(a – c)² = b² – c²

Answer

(a + c)² = b² + c²

Answer

(a – c)² = b² + c²

Answer

(a + c)² = b² – c²

Question 39

39. Partial fractions of 1/x²-4 will be of the form

Answer

A/x-2 + B/(x+2)²

Answer

None of these

Answer

A/x+2 + B/(x-2)²

Answer

A/x+2 + B/x-2

Question 40

40. x + 3/x = 4 is

Answer

A transcendental equation

Answer

An equation

Answer

Cubic equation

Answer

An identity

Question 41

41. Partial fractions of 1/(1–ax)(1–bx)(1–cx) will be of the form

Answer

A/1-ax + B/1-bx + C/1-cx

Answer

A/1-ax + Bx+C/1-bx + D/1-cx

Answer

Ax+B/1-ax + C/1-bx + D/1-cx

Answer

None of these

Question 42

42. 1/(x+3)(x+2) =

Answer

1/x-3 – 1/x-2

Answer

None of these

Answer

1/x+3 – 1/x+2

Answer

1/x²-3 – 1/x²-2

Question 43

43. The values of x which satisfy both the in equations x² – 1 ≤ 0 and x² – x 2 ≥ 0 lie is

Question 44

44. If 7x+25/(x+3)(x+4) = a/x+3 + B/x+4, then find values of A and B

Answer

A = 4, B = 3

Answer

A = 1, B = 5

Answer

A = 1, B = 3

Answer

A = 2, B = 3

Question 45

45. A relation in which the quality is true only for a number of unknown is called

Answer

Algebric relation

Answer

Algebric equation

Question 46

46. 10x-13/(x+2)(x-9) =

Answer

3/x-2 + 7/x+9

Answer

3/x+2 + 7/x-9

Answer

3/x+2 – 7/x-9

Answer

3/x-2 – 7/x+9

Question 47

47. x-1/(x+2)(x-2) =

Answer

3/4(x+2) + 1/4(x-2)

Answer

4/3(x-4) – 1/3(x-1)

Answer

2/3(x-2) – 4/3(x+2)

Answer

3/x – 2/x+1

Question 48

48. A relation in which the equality is true for any value of unknowns is called an

Answer

Algebric equation

Answer

Algebric relation

Question 49

49. Which is a proper rational fraction?

Answer

9x⁴/x³–1

Answer

None of these

Answer

2x²–5/x²+4

Answer

2x–5/x²+4

Question 50

50. Rotational fraction are of

Answer

Three types

Answer

Four types

Question 51

51. Partial fractions of 2x⁴-3x³-4x/(x²+2)²(x+1)²

Answer

A/(x²+2)² + B/(x+1)²

Answer

None of these

Answer

Ax+B/(x²+2)² + C/(x+1)²

Answer

Ax+B/x²+2 + Cx+D/(x²+2)² + E/x+1 + F/(x+1)²

Question 52

52. An open sentences formed by using the sign of equality “=” is called

Answer

None of these

Answer

In equality

Question 53

53. A quadratic factor which cannot be written as the product of two linear factors is called

Answer

Re placed factor

Answer

Reducible factor

Answer

Irreducible factor

Answer

None of these

Question 54

54. 1/(x – 3)(x – 2) =

Answer

1/x²-3 – 1/x-2

Answer

1/x-3 – 1/x-2

Answer

1/x²-3 – 1/x²-2

Answer

1/x+3 – 1/x+2

Question 55

55. The identity (x + 3)(x + 4) = x² + 7x + 12 is true for

Answer

None of these

Answer

All values of x

Answer

One value of x

Answer

Two values of x

Question 56

56. A fraction in which the degree of the numerator is less than the degree of the denominator is called

Answer

Algebraic equation

Answer

A proper fraction

Answer

An improper fraction

Question 57

57. In a quadratic equation with leading co-efficient 1, a student reads the co-efficient 16 of x wrongly as 19 and obtain the roots as – 15 and – 4. The correct roots are

Question 58

58. A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

Answer

An improper fraction

Answer

A proper fraction

Answer

Algebraic equation

Question 59

59. P(x)/Q(x), Q(x) ≠ 0 is known as

Answer

None of these

Answer

Rational fraction

Answer

Improper rational fraction

Answer

Proper rational fraction

Question 60

60. Partial fractions of 1/x² -1 are equivalent to

Answer

Ax+B/x²-1

Answer

A/x+1 + B/x-1

Question 61

61. The set of real roots of the equation log(5x – 4) (2x+3)³ -log(2x + 3) (10x² + 23x + 12) = 1 is

Question 62

62. x²–3/3x+1 is

Answer

Rational fraction

Answer

None of these

Answer

Proper fraction

Answer

Improper rational fraction

Question 63

63. Partial fractions of 2x²-3x+4/(x-1)³ will be of the form

Answer

A/x+1 + B/(x+1)² + C/(x+1)³

Answer

A/x-1 + B/(x-1)² + C/(x-1)³

Answer

A/x-1 + Bx+C/(x-1)² + D/(x-1)³

Answer

Ax+B/x-1 + C/(x-1)² + D/(x-1)³

Question 64

64. If x+p/(x-1)(x-3) = q/x-1 + 2/x-3, the value of P and Q are

Answer

P = -2, q = 1

Answer

P = 1, q = -1

Answer

P = 2, q = 1

Answer

P = 1, q = 1

Answer 179

a² + c² = – ab

Answer 180

a² – c² = – ab

Answer 181

None of these

Answer 182

a² – c² = ab

Answer 183

An improper fraction

Answer 184

A proper fraction

Answer 185

Algebric relation

Answer 186

None of these

Answer 187

Partial fraction

Answer 188

An identity

Answer 189

1/a-b[1/x²+x+b +1/x²+x+a]

Answer 190

None of these

Answer 191

1/a-b[1/x²+x+a – 1/x²+x+b]

Answer 192

1/a-b[1/x²+x+b – 1/x²+x+a]

Answer 193

An equation

Answer 194

An identity

Answer 195

Linear equation

Answer 196

Cubic equation

Answer 197

A linear equation

Answer 198

None of these

Answer 199

A cubic equation

Answer 200

A quadratic equation

Answer 201

(-π/2, π/2)

Answer 202

In Equation

Answer 203

False Sentence

Answer 204

True Sentence

Answer 205

A/x+1 + B/x²+1

Answer 206

A/x-1 + B/x²+1

Answer 207

None of these

Answer 208

A/x+1 + Bx+C/x²+1

Answer 209

None of these

Answer 210

Ax+B/(cx+d)²

Answer 211

A/cx+d + B/(cx+d)²

Answer 212

A/cx+d + B/cx+d

Total Questions:	75
Time Allowed:	40 Minutes
Total Marks:	75
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Important Math Partial Fractions Question and Answer

Math Partial Fractions Practice Test Online With Explanation

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How to Score High in Mathematics Partial Fractions Online Test?

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