Let and consider the partition

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let A={1,2,3,4,5,6}A=\{1,2,3,4,5,6\} and consider the partition P={{1,4},{2,5},{3,6}}P=\{\{1,4\},\{2,5\},\{3,6\}\}. An equivalence relation RR on AA is defined so that two elements are related exactly when they lie in the same subset of PP. Which ordered pair belongs to RR? (a) (2,4)(2,4) (b) (3,6)(3,6) (c) (1,5)(1,5) (d) (1,2)(1,2)

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