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Question

Let A={(x,y)y=e2xxR} B={(x,y)y=e2xxR} then

A
AB=ϕ
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B
AB=R
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C
AB
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D
None of these
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Solution

The correct option is B None of these
Putting x = 0 gives y =1 in both sets.

So first statement is false.

Also y can never be negative according to the definitions.

Hence 2nd statement is also untrue.

A is obviously not a subset of B. Hence option D is correct


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