1.

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»

(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}



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