If A=(x,y):y=e2x,x∈R and B=(x,y):y=e−2x,x∈R then nA∩B=

Given, $A = \{(x, y) : y = e^{2 x}, x \in R\}$

$\Rightarrow$ A is the set of all points on the graph of y = e^2x

and $B = \{(x, y) : y = e^{- 2 x}, x \in R\}$

$\Rightarrow$ B is the set of all points on the graph of $y = e^{- 2 x}$

Now, we plot the graph of given sets

since , the graph of $y = e^{2 x} and y = e^{- 2 x}$ intersect at one point.

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