Question

Question 51

If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.

Answer 1

False
If x and y are inverse proportion, then xy =k (constant)
e.g. Let x = 2 and y = 3
$\therefore xy=2\times 3=6$, Now, x + 1 = 2 + 1 = 3 and y + 1 = 3 + 1 = 4
Then, (x + 1) (y + 1) = $3\times 4=12$ [not in inverse proportion]
Hence, (x + 1) and (y + 1) cannot be in inverse proportion.