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) \[\left\{ \left( 3,4 \right) \right\}\]
Correct Answer: B
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.You need to login to perform this action.
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