If n (AxB ) = 6 and A = { ,1 3} then n (B) is, 1, 2, 3, 6, A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A ∪ C) × B] isy, 8, 20, 12, 16, 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 × C) ⊂ (B × D), (B × D) ⊂ (A × C), (A × B) ⊂ (A × D), (D × A) ⊂ (B × A), 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, 3, 2, 4, 6, The range of the relation R = {(x, x2) a prime number less than 13} is ……………………, {2, 3, 5, 7}, {2, 3, 5, 7, 11}, {4, 9, 25, 49, 121}, {1, 4, 9, 25, 49, 121}, If the ordered pairs (a + 2, 4) and (5, 2a + b)are equal then (a, b) is, (2, -2), (5, 1), (2, 3), (3, -2), 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 …………….., mn, nm, 2mn -1, 2mn, If {(a, 8),(6, b)}represents an identity function, then the value of a and b are respectively, (8, 6), (8, 8), (6, 8), (6, 6), 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 ……, Many-one function, Identity function, One-to-one function, Into function, If f (x) = 2x2 and g(x) = 1/3x, then fog is ………….., 3/2x2, 2/3x2, 2/9x2, 1/6x2, If f: A → B is a bijective function and if n(B) = 7, then n(A) is equal to, 7, 49, 1, 14, 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 …………………, {0,2,3,4,5}, {-4,1,0,2,7}, {1,2,3,4,5}, {0,1,2}, Let f(x) = √1+x2 then, f(xy) = f(x),f(y), f(xy) ≥ f(x),f(y), f(xy) ≤ f(x).f(y), None of these, 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, (-1,2), (2,-1), (-1,-2), (1,2), f(x) = (x + 1)3 – (x – 1)3 represents a function which is, linear, cubic, reciprocal, quadratic

Relations and Functions

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