GATE BT 2024 | GA | Question: 2

Question

If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$

• A. depends on $x y$
• B. depends only on $x$ and not on $y$
• C. depends only on $y$ and not on $x$
• D. is a constant

   

Answer 1

It is given that $(x+y)$ and $(x-y)$ are proportional to each other. let the proportionality constant be $(x+y) = k(x-y)$ be $k$

Now after re-arranging them we would get.

$\frac{x}{y}= \frac{(k+1)}{(k-1)}$

Therefore option $\boxed{D}$ is correct.