🛠️ JEE➗ Maths

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)]

a

Both Statement I and Statement II are correct

b

Statement I is incorrect but Statement II is correct

c

Statement I is correct but Statement II is incorrect

d

Both Statement I and Statement II are incorrect

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