1) If n (AxB ) = 6 and A = { ,1 3} then n (B) is a) 1 b) 2 c) 3 d) 6 2) A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A ∪ C) × B] isy  a) 8 b) 20 c) 12 d) 16 3) If A = {1,2}, B = {1,2, 3, 4}, C = {5,6} and D = {5, 6, 7, 8} then state which of the following statement is true ………………. a) (A × C) ⊂ (B × D) b) (B × D) ⊂ (A × C) c) (A × B) ⊂ (A × D) d) (D × A) ⊂ (B × A) 4) If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is a) 3 b) 2 c) 4 d) 6 5) The range of the relation R = {(x, x2) a prime number less than 13} is …………………… a) {2, 3, 5, 7} b) {2, 3, 5, 7, 11} c) {4, 9, 25, 49, 121} d) {1, 4, 9, 25, 49, 121} 6) If the ordered pairs (a + 2, 4) and (5, 2a + b)are equal then (a, b) is a) (2, -2) b) (5, 1) c) (2, 3) d) (3, -2) 7) Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is …………….. a) mn b) nm c) 2mn -1 d) 2mn 8) If {(a, 8),(6, b)}represents an identity function, then the value of a and b are respectively a) (8, 6) b) (8, 8) c) (6, 8) d) (6, 6) 9) Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A → B given by f = {(1, 4), (2, 8),(3,9),(4,10)} is a …… a) Many-one function b) Identity function c) One-to-one function d) Into function 10) If f (x) = 2x2 and g(x) = 1/3x, then fog is ………….. a) 3/2x2 b) 2/3x2 c) 2/9x2 d) 1/6x2 11) If f: A → B is a bijective function and if n(B) = 7, then n(A) is equal to a) 7 b) 49 c) 1 d) 14 12) Let f and g be two functions given by, f = {(0,1),(2, 0),(3-4),(4,2),(5,7)} g = {(0,2),(1,0),(2, 4),(-4,2),(7,0)} then the range of f o g is ………………… a) {0,2,3,4,5} b) {-4,1,0,2,7} c) {1,2,3,4,5} d) {0,1,2} 13) Let f(x) = √1+x2 then a) f(xy) = f(x),f(y) b) f(xy) ≥ f(x),f(y) c) f(xy) ≤ f(x).f(y) d) None of these 14) If g= {(1,1),(2,3),(3,5),(4,7)} is a function given by g(x) = αx + β then the values of α and β are a) (-1,2) b) (2,-1) c) (-1,-2) d) (1,2) 15) f(x) = (x + 1)3 – (x – 1)3 represents a function which is a) linear b) cubic c) reciprocal d) quadratic

Relations and Functions

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