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Question
If p and q are in inverse variation then (p + 2) and (q – 2) are also in inverse proportion.
Options
True
False
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Solution
This statement is False.
Explanation:
If p and q are in inverse proportion, then
xy = k ...(Constant)
E.g. Let p = 3 and q = 4
Then, pq = 3 × 4 = 12
Now, p + 2 = 3 + 2 = 5 and q – 2 = 4 – 2 = 2
(p + 2) (q – 2) = 5 × 2 = 10 ...[Not in inverse proportion]
Hence, (p + 2) and (q – 2) cannot be in inverse proportion.
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