• # question_answer Let A = {1, 2, 3}, B = {1, 3, 5}. A relation $R:A\to B$ is defined by R = {(1, 3), (1, 5), (2, 1)}. Then ${{R}^{-1}}$ is defined by A) {(1,2), (3,1), (1,3), (1,5)} B) {(1, 2), (3, 1), (2, 1)} C) {(1, 2), (5, 1), (3, 1)} D) None of these

$(x,\,y)\in R\Leftrightarrow (y,\,x)\in {{R}^{-1}}$,   $\therefore$ ${{R}^{-1}}=\{(3,\,1),\,(5,\,1),\,(1,\,2)\}$.