Question

Two sets A and B are defined as follows
$A=\{(x,y):y=e^{2x},x\in R\}$ and
$B=\{(x,y):y=x^2,x\in R\}$, then

• A. $A\subset B$
• B. $B\subset A$
• C. $A\bigcup B$
• D. $A\cap B=\varphi$

Answer 1

Answer: (A)

$A\subset B$

$\begin{array}{c}A=\left\{\left(x,y\right):y=e^{2x},x\in R\right\}and\\ B=\left\{\left(x,y\right):y=x^2,x\in R\right\}\\ then,\\ A=\left(e^{\circ },e^1,e^2,....,e^{\infty }\right)\\ =\left(1,e^1,e^2,.......\right)\\ and,\\ B=\left(0,1,4,.....\right)\\ \therefore A\subset B\\ Hence,theoptionAisthecorrectanswer.\end{array}$