Functions Question 348

Question: If $ R={x,y}:x,y\in I $ and $ x^{2}+y^{2}\le 4} $ is a relation in I, the domain of R is

Options:

A) $ {0,1,2} $

B) $ {-2,-1,0} $

C) $ {-2,-1,0,,1,2} $

D) I

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ x^{2}+y^{2}\le 4 $ , represents all points interior to the circle $ x^{2}+y^{2}=4, $ hence $ -2\le x\le 2 $ and $ -2\le y\le 2 $
$ \therefore $ integral values of x are $ -2,-1,0,1,2 $