• # question_answer If $\mathbf{A}=\left\{ \mathbf{1},\mathbf{2},\mathbf{3} \right\},\mathbf{B}=\left\{ \mathbf{3},\mathbf{4} \right\}$and $\mathbf{C}=\left\{ \mathbf{4},\mathbf{5},\mathbf{6} \right\}$then $\left( \mathbf{A}\times \mathbf{B} \right)\cap \left( \mathbf{B}\times \mathbf{C} \right)$is equal to A) $\left\{ \left( 1,4 \right),\left( 2,3 \right) \right\}$                 B) $\left\{ \left( 4,4 \right),\left( 3,2 \right) \right\}$C) $\left\{ \left( 3,5 \right),\left( 3,4 \right) \right\}$      D) $\left\{ \left( 3,4 \right) \right\}$

Solution :

[d]  $A=\left\{ 1,2,3 \right\}$ $B=\left\{ 3,4 \right\}$ $C=\left\{ 4,5,6 \right\}$ $A\times B=\left\{ \left( 1,3 \right),\left( 2,3 \right),\left( 3,3 \right),\left( 1,4 \right),\left( 2,4 \right),\left( 3,4 \right) \right\}$ $B\times C=\left\{ \left( 3,4 \right),\left( 4,4 \right),\left( 3,5 \right),\left( 4,5 \right),\left( 3,6 \right),\left( 4,6 \right) \right\}$ $\left( A\times B \right)\cap \left( B\times C \right)=\left\{ \left( 3,4 \right) \right\}$ Hence, option is correct.

LIMITED OFFER HURRY UP! OFFER AVAILABLE ON ALL MATERIAL TILL TODAY ONLY!

You need to login to perform this action.
You will be redirected in 3 sec