Mathematics Partial Fractions Online Test

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Question 1

1. x + 3/x = 4 is

Answer

An identity

Answer

An equation

Answer

Cubic equation

Answer

A transcendental equation

Question 2

2. 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

None of these

Answer

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

Answer

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

Question 3

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

Question 4

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

Answer

Ax+B/x+1 + C/x²-x+1

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

Question 5

5. Which is a proper rational fraction?

Answer

2x²–5/x²+4

Answer

9x⁴/x³–1

Answer

2x–5/x²+4

Answer

None of these

Question 6

6. 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 7

7. x + 3/x = 4 is

Answer

An identity

Answer

An equation

Answer

Cubic equation

Answer

A transcendental equation

Question 8

8. 4x = 5 is ?

Answer

Conditional

Question 9

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

Answer

A/x+1 – B/x²-x+1

Answer

None of these

Answer

A/x+1 + Bx+C/x²-x+1

Answer

A/x-1 – B/x²-x+1

Question 10

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

Question 11

11. 1/(x²+5)(x²+5) =

Answer

1/x²+4 – 1/x²+5

Answer

1/x²+4 – 1/x²-5

Answer

1/x²-4 – 1/x²+5

Answer

None of these

Question 12

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

Question 13

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

Answer

None of these

Answer

Ax+B/x²+x+1 + Cx+D/(x²+x+1)

Answer

(Ax+B)(x²+x+1)+C(x²+x+1)²

Answer

A/x²+x+1 + B/(x²+x+1)²

Question 14

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

Answer

Co-efficient

Question 15

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

Question 16

16. (x+2)² = x² + 4x + 4 is

Answer

A linear equation

Answer

A cubic equation

Answer

A quadratic equation

Answer

None of these

Question 17

17. There are _________ types of rational fraction.

Question 18

18. P(x)/Q(x), Q(x) ≠ 0 is known as

Answer

Proper rational fraction

Answer

None of these

Answer

Improper rational fraction

Answer

Rational fraction

Question 19

19. Algebric equation can be divided into

Answer

Four kinds

Answer

Three kinds

Question 20

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

Answer

2/3(x-2) – 4/3(x+2)

Answer

4/3(x-4) – 1/3(x-1)

Answer

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

Answer

3/x – 2/x+1

Question 21

21. 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 22

22. The equation (cos P – 1) x² + x (cos P) + sin P = 0 in the variable x, has real roots, then P can take any value in the interval.

Answer

(-π/2, π/2)

Question 23

23. 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 24

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

Answer

A/x+1 + B/x-1

Answer

Ax+B/x²-1

Question 25

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

Answer

None of these

Answer

A/cx+d + Bx/(ex+f)²

Answer

A/cx+d + bx/ex+f

Answer

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

Question 26

26. A fraction in which degree of numerator is less than degree of denominator is

Answer

Algebric relation

Answer

A proper fraction

Answer

An improper fraction

Question 27

27. If 2x¹ᐟ³ + 2 x¯¹ᐟ³ = 5, then x is equal to

Question 28

28. 2x-5/x²+4 is ___________ rational fraction

Answer

Conditional

Answer

None of these

Question 29

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

Answer

Algebric equation

Answer

Algebric relation

Question 30

30. 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

None of these

Answer

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

Answer

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

Question 31

31. 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 32

32. (x + 2)² = x² + 4x + 4 is

Answer

An equation

Answer

Cubic equation

Answer

Linear equation

Answer

An identity

Question 33

33. x²–3/3x+1 is

Answer

Improper rational fraction

Answer

Rational fraction

Answer

None of these

Answer

Proper fraction

Question 34

34. (ax+b)/(cx +d)² =

Answer

A/cx+d + B/(cx+d)²

Answer

Ax+B/(cx+d)²

Answer

None of these

Answer

A/cx+d + B/cx+d

Question 35

35. 2x = 3 is a conditional equation it is true for

Question 36

36. Partial fractions of 1/(x+1)(x²+1) will be the form

Answer

None of these

Answer

A/x-1 + B/x²+1

Answer

A/x+1 + Bx+C/x²+1

Answer

A/x+1 + B/x²+1

Question 37

37. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = x – 1, B = x + 1

Answer

A = 0, B = 2

Answer

A = -1, B = 1

Answer

A = x, B = 1

Question 38

38. 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Answer

A = 0, B = 2

Answer

A = x-1, B = x + 1

Answer

A = x, B = 1

Answer

A = -1, B = 1

Question 39

39. 9x²/x³¯¹ is a fraction.

Answer

None of these

Answer

Rational fraction

Answer

Improper fraction

Answer

Proper fraction

Question 40

40. 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 41

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

Answer

A proper fraction

Answer

Improper fraction

Answer

Algebric equation

Question 42

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

Answer

A/x-2 + B/(x+2)²

Answer

A/x+2 + B/x-2

Answer

None of these

Answer

A/x+2 + B/(x-2)²

Question 43

43. 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 44

44. 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 45

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

Answer

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

Answer

3/x – 2/x+1

Answer

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

Answer

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

Question 46

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

Answer

None of these

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)

Question 47

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

Question 48

48. 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 49

49. 1/(x+3)(x+2) =

Answer

1/x-3 – 1/x-2

Answer

1/x²-3 – 1/x²-2

Answer

1/x+3 – 1/x+2

Answer

None of these

Question 50

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

Answer

A/(x²+2)² + B/(x+1)²

Question 51

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

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

Answer

A/x-1 + B/(x-1)² + C/(x-1)³

Answer

A/x+1 + B/(x+1)² + C/(x+1)³

Question 52

52. 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 53

53. Rotational fraction are of

Answer

Four types

Answer

Three types

Question 54

54. 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 55

55. If x² + px + 1 is a factor of ax³ + bx + c, then

Answer

a² + c² = – ab

Answer

a² – c² = – ab

Answer

a² – c² = ab

Answer

None of these

Question 56

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

Answer

Algebric relation

Answer

Algebric equation

Question 57

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

Question 58

58. 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 59

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

Answer

In equality

Answer

None of these

Question 60

60. 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 61

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

Answer

None of these

Answer

Partial fraction

Answer

Combined fraction

Answer

Rational fraction

Question 62

62. (x – 4)² = x² + 8x + 16 is

Answer

A transcendental equation

Answer

Cubic equation

Answer

An identity

Answer

An equation

Question 63

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

Answer

Subtraction

Answer

Multiplication

Question 64

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

Answer

None of these

Answer

Algebric equation

Answer 176

A = 1, B = 5

Answer 177

A = 1, B = 3

Answer 178

A = 2, B = 3

Answer 179

A = 4, B = 3

Answer 180

P = 1, q = 1

Answer 181

P = -2, q = 1

Answer 182

P = 2, q = 1

Answer 183

P = 1, q = -1

Answer 184

A/x+1 + Bx+0/x²-1

Answer 185

A/x+1 + B/(x+1)² + C/x-1

Answer 186

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

Answer 187

None of these

Answer 188

1/a-b[1/x²+x+b – 1/x²+x+a]

Answer 189

1/a-b[1/x²+x+a – 1/x²+x+b]

Answer 190

1/a-b[1/x²+x+b +1/x²+x+a]

Answer 191

None of these

Answer 192

A proper fraction

Answer 193

Algebraic equation

Answer 194

An improper fraction

Answer 195

All values of x

Answer 196

One value of x

Answer 197

None of these

Answer 198

Two values of x

Answer 199

Improper fraction

Answer 200

Partial fraction

Answer 201

Combined fraction

Answer 202

None of these

Answer 203

Cubic equation

Answer 204

Identity equation

Answer 205

An equation

Answer 206

Transcendental Equation

Answer 207

None of these

Answer 208

An identity

Answer 209

Partial fraction

Answer 210

In Equation

Answer 211

True Sentence

Answer 212

False Sentence

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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