Let X=R×R. Define a relation R on X as : (a1,b1)R(a2,b2)⇔b1=b2 Statement I : R is an equivalence relation. Statement II : For some (a,b)∈X, the set S={(x,y)∈X:(x,y)R(a,b)} represents a line parallel to y=x. In the light of the above statements, choose the correct answer from the options given below :
Held on 23 Jan 2025 · Verified 6 Jul 2026.
Both Statement I and Statement II are false
Statement I is true but Statement II is false
Both Statement I and Statement II are true
Statement I is false but Statement II is true
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