Prove that every identity relation on a set is reflexive, but the converse is not necessarily true.

Write the identity relation on set A={a,b,c}.

When a relation R on a set A is said to be reflexive

Write the identity relation on set A={a ,\ b ,\ c} .

If a function is differentiable at a point,it is necessarily continuous at that point.But; the converse is not necessarily true.

If A={a,b,c,d}, then on A . (i) write the identity relation I_(A) . (ii) write a reflexive relation which is not the identity relation.

If A={a,b,c,d}, then on A . (i) write the identity relation I_(A) . (ii) write a reflexive relation which is not the identity relation.

State whether the statement is true or false : '' All relations are mapping but the converse is not true ''.

Assertion and Reason type questions : Consider the following statements,p: Every reflexive relation is a symmetric relation,q: Every anti- symmetric relation is reflexive.Which of the following is/ are true?

Write the smallest reflexive relation on the set A = (a,b)

Let R be a reflexive relation on a set A and I be the identity relation on A. Then