MCQ
The Exprssion $(x + y)^{-1}(x^{-1}+ y^{-1})$ is equivalent to:
  • A
    $1$
  • $(xy)^{-1}$
  • C
    $x^y$
  • D
    $xy^{-1} + x^{-1}y$

Answer

Correct option: B.
$(xy)^{-1}$

$(x + y)^{-1}(x^{-1} + y^{-1})$
$\Rightarrow\frac{1}{\text{(x+y)}}\times\Big(\frac{1}{\text{x}}+\frac{1}{\text{y}}\Big)$
$\Rightarrow\frac{1}{\text{(x+y)}}\times\Big(\frac{\text{x+y}}{\text{xy}}\Big)$
$\Rightarrow\frac{1}{\text{x+y}}\Rightarrow({\text{xy}})^{-1}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free