Class XII If R is the set of real numbers, a function f:R→R defined asf (x) = x2 , then f is f is many – one onto f is neither one – one nor onto f is many one – one and onto f is one – one but not onto The void relation ( a subset of A x A ) on a non empty set A is : Reflexive only symmetric only transitive Transitive and symmetric Let A = {1, 2, 3}, then the relation R = {(1, 1), (2, 2), (1, 3)} on A is transitive none of these. symmetric reflexive Let A be the set of all 50 students of Class X in a school. Let f : A → N be function defined by f (x) = roll number of the student, f is one – one and onto one – one but not onto Onto many-one onto Let A = {1, 2, 3}, then the domain of the relation R = {(1, 1), (2, 3), (2, 1)} defined on A is -------------------------------------------------------------------------------- {1, 2} {1, 3} none of these {1, 2, 3} Do you really want to submit this quiz? Cancel Submit Quiz