NIELIT 2019 Feb Scientist D - Section D: 25

Question

In the following system of equations $2^{y-x} \left(x+y \right)=1$  &  $\left(x+y \right)^{x-y}=2$ the value of $xy$ is :

• A. $\frac{1}{2}$
• B. $\frac{3}{4}$
• C. $\frac{1}{4}$
• D. $1$