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State true or false.

If p and q are in inverse proportion, then (p + 2) and (q - 2) are also in inverse proportion.

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True.

False

answer is B.

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Detailed Solution

Given that p and q are in inverse proportion.
To check then (p + 2) and (q - 2) are also in inverse proportion.
Use the given fact that p and q are in inverse proportion and hence,

pq

= constant
(p + 2) and (q - 2) are also in inverse proportion if and only if

(p + 2) (q - 2)

= constant

pq + 2 (q - p) - 4 \neq pq

Hence the given statement is false.
Hence, the correct option is 2.

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