Let R be the set of real numbers This question has Statement −1 and Statement −2. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1 : A={(x,y)∈R×R:y−x is an integer } is an equivalence relation on R. Statement-2 : B={(x,y)∈R×R:x=αy for some rational number α} is an equivalence relation on R.
Held on 30 Apr 2011 · Verified 6 Jul 2026.
Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1
Statement −1 is true, Statement- 2 is false.
Statement −1 is false, Statement −2 is true.
Statement −1 is true, Statement −2 is true; Statement −2 is a correct explanation for Statement −1
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Work through every JEE Main Algebra PYQ, year by year.