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Solution for If R = {(X, Y) : X2 + Y2 ≤ 4; X, Y ∈ Z} is a Relation On Z, Write the Domain Of R. - CBSE (Science) Class 12 - Mathematics

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Question

If R = {(xy) : x2 + y2 ≤ 4; xy ∈ Z} is a relation on Z, write the domain of R.

Solution

Domain of R is the set of values of x satisfying the relation R.
As x must be an integer, we get the given values of x:

0, ±1, ±2

Thus, 

Domain of {0, ±1, ±2}

  Is there an error in this question or solution?
Solution If R = {(X, Y) : X2 + Y2 ≤ 4; X, Y ∈ Z} is a Relation On Z, Write the Domain Of R. Concept: Types of Relations.
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