Question

The relation R defined on a set A = {0, -1, 1, 2} by xRy if |x² + y²| ≤ 2, then which one of the following is true? 

(a) R = {(0, 0), (0, -1), (0, 1), (-1, 0), (-1, 1), (1, 2), (1, 0)} 

(b) R = {(0, 0), (0, -1), (0, 1), (-1, 0), (1, 0) 

(c) Domain of R is {0, -1, 1, 2}

Answer 1

(a) Range of R is {0, -1, 1}

A= {0, -1, 1, 2} 

|x² + y²| ≤ 2 

The values of x and y can be 0, -1 or 1 

So range = {0, -1, 1}