Consider the relation on the set of real numbers given by .

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the relation

R

on the set of real numbers given by

x^2+y^2=1

. (i) Is

R

a function from

\mathbb R

\mathbb R

? State your reason briefly. (ii) If the domain is restricted to

D=[0,1]

, does the relation become a function? If yes, write its range on this restricted domain.