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If R is a Relation Defined on the Set Z of Integers by the Rule (X, Y) ∈ R ⇔ X2 + Y2 = 9, Then Write Domain of R. - Mathematics

If R is a relation defined on the set Z of integers by the rule (xy) ∈ R ⇔ x2 + y2 = 9, then write domain of R.

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Solution

We need to find (xy) ∈ R such that x2 + y2 = 9.

\[Now, \]
\[ \left( 3 \right)^2 + 0^2 = 9\]
\[ \Rightarrow \left( - 3 \right)^2 + 0^2 = 9\]

x can take values -3, 0 and 3.
∴ Domain (R) = {-3, 0, 3}

 
Concept: Relation
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Q 3 | Page 24
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