Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Relations and Functions

Short Answer Type

51.

Determine the domain and range of the relation defined as :

$space space space space space space space space space space space straight R space equals space left curly bracket left parenthesis straight x comma space straight y right parenthesis space colon space straight x element of straight N comma space straight y element of straight N comma space straight x less than 5 comma space straight y space equals space 3 straight x space plus space 1 right curly bracket$

110 Views

52.

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by aRb = {(a, b) : a, $straight b element of straight A$ , a divide b}. determine its domain and range.

115 Views

53. Let A = {2, 3, 4, 5}, which of the following relations from A into A is a function? If it is a function, determine the domain and range.

(i) {(2, 3), (2, 4), (2, 5)} (ii) {(2, 2), (3, 3), (4, 5), (5, 3)}

132 Views

54.

Let A = {2, 3, 4, 5}, which of the following relations from A into A is a function ? If it is a function, determine the domain and range.

(a) {(2,2), (3, 2), (4,2), (5,2)} (b) {(2, 3), (3,4),(4,5),(3,5)}

116 Views

55.

Let A = {2, 3, 4, 5}, which of the following relations from A into A is a function ? If it is a function, determine the domain and range.

{(2, 3), (2, 4), (2, 5)}

110 Views

56.

Let A = {2, 3, 4, 5}, which of the following relations from A into A is a function ? If it is a function, determine the domain and range.

{(2, 4), (3, 4), (4, 5)}

103 Views

57. Find the domain and range of the following functions :

space space space space space space space space space space space space space space space left parenthesis straight a right parenthesis space straight f left parenthesis straight x right parenthesis space equals space minus open vertical bar straight x close vertical bar space space space space space space

130 Views

58. Find the domain and range of the following functions :

space space space space space space space space space straight f left parenthesis straight x right parenthesis space equals space square root of 4 minus straight x squared end root

143 Views

59. Find the domain and range of the following functions :

$space space space space space space space straight f left parenthesis straight x right parenthesis space equals space square root of straight x minus 3 end root$

f(x) = $space space square root of straight x minus 3 end root$

The function is not defined when x-3 is negative i.e. x-3<0

∴ $space space space space space space space space space space space space space space straight D subscript straight f space equals space left curly bracket straight x thin space colon straight x space minus 3 greater or equal than 0 right curly bracket space equals space left curly bracket straight x space colon space straight x greater or equal than space 3 right curly bracket space equals space All space reals space greater or equal than space 3 space equals space left square bracket 3 comma space infinity right square bracket$

$space space space straight F space straight x greater or equal than space 3 comma space straight f left parenthesis straight x right parenthesis greater or equal than 0$

∴ $space space space space space space space space space space straight R subscript straight f space All space reals space greater or equal than space 0 space or space straight R subscript straight f left square bracket 0 comma space infinity right square bracket$