# If set A = {1,2} and set B = {1,2,3,4} then set {(1,2);(1,1);(2,2);(2,1)} is NOT a subset of  Option 1) $A \times B$ Option 2) $(A \times B)\cap(B\times A)$ Option 3) $B\times B$ Option 4) All of these.

H Himanshu

As we have learnt,

Theorem of Cartesian Product -

$If A\subseteq B, then AXA\subseteq(AXB)\cap(BXA)$

-

Set is Axa which is subset of AxB, BxA, $A\times B \cap B\times A$ as it can be seen in the cartesian products.

Option 1)

$A \times B$

Option 2)

$(A \times B)\cap(B\times A)$

Option 3)

$B\times B$

Option 4)

All of these.

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