Mathematics - Sets and Relations Question with Solution | TestHub

$\begin{array}{lc}\mathrm{A}=\{2,3,6,8,9,11\}& (\mathrm{a},\mathrm{b})\mathrm{R}(\mathrm{c},\mathrm{d})\\ \mathrm{B}=\{1,4,5,10,15\}& 3\mathrm{ad}-7\mathrm{bc}\end{array}$ Reflexive : $(\mathrm{a},\mathrm{b})\mathrm{R}(\mathrm{a},\mathrm{b})$ $\Rightarrow 3\mathrm{ab}-7\mathrm{ba}=-4\mathrm{ab}$ always even so it is reflexive. Symmetric : If $3\mathrm{ad}-7\mathrm{bc}=$ Even Case-I : odd odd Case-II : even even (c, d) $\mathrm{R}(\mathrm{a},\mathrm{b})\Rightarrow 3\mathrm{bc}-3\mathrm{ab}$ Case-I : odd odd Case-II : even even so symmetric relation Transitive : Set $(3,4)R(6,4)$ Satisfy relation Set $(6,4)R(3,1)$ Satisfy relation but $(3,4)\mathrm{R}(3,1)$ does not satisfy relation so not transitive.