Which of the relations R on the set of the real numbers is an equivalence relation?
`(a).x R y` if `|x|=|y|`

Which of the relations R on the set of the real numbers is an equivalence relation? (b) x R y if x-yge0

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find R.

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

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find range of R.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find domain of R.

The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} Is R an equivalance relation

Show that each of the relation R in the set A={x in Z: 0lt= xlt=12} ,given by R = {(a,b) : a=b} is an equivalence relation. Find the set of all elements related to 1 in each case.

Show that the relation R. in the set A of all points in a place given by R = {(P,Q): the distance of the points P from the point Q from the origin }, is an equivalence relation. Further show that the set of all points related to a point p != (0,0) is the circle passing through P with origin as centre.