question_answer

Let a relation R be defined by \[R=\{(4,\,\,5);(1,\,\,4);(4,\,\,6);(7,\,\,6);(3,7)\}\] then\[{{R}^{-1}}O\,\,R\] is

A)  \[\left\{ (1,\,\,1),\,\,(4,\,\,4),\,\,(4,\,\,7),\,\,(7,\,\,4),\,\,(7,\,\,7),\,\,(3,\,\,3) \right\}\]

B)  \[\left\{ (1,\,\,1),\,\,(4,\,\,4),\,\,(7,\,\,7),\,\,(3,\,\,3) \right\}\]

C)  \[\left\{ (1,\,\,5),\,\,(1,\,\,6),\,\,(3,\,\,6) \right\}\]

D)  \[\left\{ (1,\,\,4),\,\,(4,\,\,5),\,\,(3,\,\,6),\,\,(7,\,\,3) \right\}\]

E)  None of these