Question

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

Options

• True

• False

Answer 1

This statement is False.

Explanation:

If x and y are in inverse proportion, then xy = k  ...(Constant)

E.g. Let x = 2 and y = 3

∴ xy = 2 × 3 = 6.

Now, x + 1 = 2 + 1 = 3 and y + 1 = 3 + 1 = 4

Then, (x + 1)(y + 1) = 3 × 4 = 12  ...[Not in inverse proportion]

Hence, (x + 1) and (y + 1) cannot be in inverse proportion.