Class XII

If R is the set of real numbers, a function f:R→R defined asf (x) = x2 , then f is
  1. f is many – one onto
  2. f is neither one – one nor onto
  3. f is many one – one and onto
  4. f is one – one but not onto
The void relation ( a subset of A x A ) on a non empty set A is :
  1. Reflexive
  2. only symmetric
  3. only transitive
  4. Transitive and symmetric
Let A = {1, 2, 3}, then the relation R = {(1, 1), (2, 2), (1, 3)} on A is
  1. transitive
  2. none of these.
  3. symmetric
  4. 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
  1. one – one and onto
  2. one – one but not onto
  3. Onto
  4. 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. -------------------------------------------------------------------------------- {1, 2}
  2. {1, 3}
  3. none of these
  4. {1, 2, 3}
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