Let \(A=\left{0,1,2,\ldots 9\right}.\) Let \(R\) be a relation on \(A\) defined by \((x,y)\in R\) if and only if \(|x–y|…
Q1
Let \(A=\left{0,1,2,\ldots 9\right}.\) Let \(R\) be a relation on \(A\) defined by \((x,y)\in R\) if and only if \(|x–y|\) is a multiple of \(3.\)
Given below are two statements:
Statement \(\text{I}:n(R)=36.\)
Statement \(\text{II}:R\) is an equivalence relation.
In the light of the above statements, choose the correct answer from the given below
[JEE Main 2026, 23 Jan (Shift 2)]
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