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Class 12 Mathematics.
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Question 1 of 8
Let f : R → R be defined as f(x) = 3x. Then
Correct answer: D
Question 2 of 8
Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is
Correct answer: C
Question 3 of 8
Set A has 3 elements and the set B has 4 elements. Then the number of injective mappings that can be defined from A to B is:
Correct answer: B
Question 4 of 8
Let f: R – {-(frac { 4 }{3})} → R be a function defined as: f(x) = (frac { 4x }{3x+4}), x ≠–(frac { 4 }{3}). The inverse of f is map g : Range f → R -{-(frac { 4 }{3})} given by
Correct answer: C
Question 5 of 8
Let f: R → R be defined by f(x) = sin x and g : R → R be defined by g(x) = x², then fog is
Correct answer: B
Question 6 of 8
Let A = (1, 2, 3). Then the number of equivalence relations containing (1, 2) is
Correct answer: C
Question 7 of 8
The domain of the function f (x) = (frac { 1 }{sqrt{|x|-x}}) is