question_answer

Let \[\mathbf{A}=\left\{ \left( \mathbf{x},\mathbf{y} \right)/\mathbf{y}={{\mathbf{e}}^{x}},\mathbf{x}\in \mathbf{R} \right\}\] \[B=\left\{ \left( \mathbf{x},\mathbf{y} \right)/\mathbf{y}={{\mathbf{e}}^{-x}},\mathbf{x}\in \mathbf{R} \right\}\].then

A)                     

B)  

C)                   

D)   None of these

Correct Answer: B

Solution :

[b] \[\because A\cap B\ne \phi \]             By above graph of both \[{{e}^{x}}\And \frac{1}{{{e}^{x}}}.\] Thus, we have see that Option [b] is correct.