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Question : 15
Total: 50
If R = { ( x , y ) ; x , y ∈ Z , x 2 + y 2 ≤ 4 } is a relation in set Z , then domain of R is
Solution: 👈: Video Solution
Explanation: Given,
R = { ( x , y ) : x , y ∈ Z , x 2 + y 2 ≤ 4 }
Since, begin a l i g n e d y = f ( x )
y = √ 4 − x 2 end a l i g n e d
For, x = 0 , ± 1 , ± 2 , ⇒ y = ± 2 , ± √ 3 , 0
Since,
Hence, the required domain will be0 ± 1 , ± 2
Since,
Hence, the required domain will be
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