Let and . The relations R= (1,1),(1,2),(2,3) , S= (1,1) are given. Which of the…

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

Problem

Let A={1,2}A=\{1,2\} and B={1,2,3}B=\{1,2,3\}. The relations R={(1,1),(1,2),(2,3)},S={(1,1)}R=\{(1,1),(1,2),(2,3)\},\qquad S=\{(1,1)\} are given. Which of the following additional sets of ordered pairs, when added to SS, will make RR a subrelation of SS? (a) {(1,2)}\{(1,2)\} (b) {(1,2),(1,3)}\{(1,2),(1,3)\} (c) {(1,2),(2,3)}\{(1,2),(2,3)\} (d) {(2,3)}\{(2,3)\}

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