Q. 51

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

Answer :

False

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.

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