Question

If, $\frac{1}{x}+\frac{1}{y}=k$ and $\frac{1}{x}-\frac{1}{y}=k$, then the value of y .................

• A. $3$
• B. $-4$
• C. Does not exist.
• D. None of these

Answer 1

The correct option is C Does not exist.

Let $\frac{1}{x}+\frac{1}{y}=k$ ......(1)
$\frac{1}{x}-\frac{1}{y}=k$ ......(2)
$\left(1\right)-\left(2\right)\Rightarrow \frac{2}{y}=0$
$\therefore$ the value of $y$ does not exist.