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Question

Question: If the sets A and B are defined as \(A = \left\{ ( x , y ) : y = e ^ { x } , x \in R \right\}\)![](...

If the sets A and B are defined as

A={(x,y):y=ex,xR}A = \left\{ ( x , y ) : y = e ^ { x } , x \in R \right\}then

A

BAB \subseteq A

B

ABA \subseteq B

C

AB=ϕA \cap B = \phi

D

AB=AA \cup B = A

Answer

AB=ϕA \cap B = \phi

Explanation

Solution

Since, xRx \in R

\therefore AB=ϕA \cap B = \phi .