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## QuestionMathsClass 12

If $$\displaystyle R=\{ (x,y):x, y \in Z ,x^{2}+y^{2}\leq 4 \}$$ is a relation in $$Z$$ then domain $$D$$ is

(A) $$\displaystyle \left \{ -2,-1,0,1,2\right \}$$
(B) $$\displaystyle \left \{ -2,-1,0 \right \}$$
(C) $$\displaystyle \left \{ 0,1,2\right \}$$
(D) None of these

Relation $$Z$$ consists of all the integral points inside and onthe circle of radius $$2$$ and center $$(0,0)$$.

For all the points $$(x,y)$$ which lie inside and on the circle $$x\epsilon [-2,2]$$ and $$y\epsilon [-2,2]$$. Hence the domain is the integer values of $$x$$ i.e $$-2,-1,0,1,2.$$