99 Percentile Qs Bank for JEE MainMathematicsSets and Relations

If R = x , y | x , y ∈ Z , x 2 + y 2 ≤ 4 is a relation in Z , then domain of R is

Options

A0 , 1 , 2
B0 , - 1 , - 2
C- 2 , - 1 , 0 , 1 , 2
DNone of these

Correct answer

C. - 2 , - 1 , 0 , 1 , 2

Step-by-step solution

∵ R = x , y x , y ∈ Z , x 2 + y 2 ≤ 4 R = - 2 , 0 , - 1 , 0 , ( 0 , - 1 ) , - 1 , 1 , ( 1 , - 1 ) , 0 , - 1 0 , 1 , 0 , 2 , 0 , - 2 , 1 , 0 , ( 0 , 1 ) , 1 , 1 , ( - 1 , - 1 ) , 2 , 0 , ( 0 , 0 ) Hence, Domain of R = - 2 , - 1 , 0 , 1 , 2

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