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

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

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

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

Show that the relation R on the set of natural numbers defined as R:{(x,y):y-x is a multiple of 2} is an equivalance relation

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 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.