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Which of the subsequent pairs vary inversely with each other?

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answer is D.

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Detailed Solution

Two variables

x and y

are said to be inversely proportional if and only if they are directly proportional to one another's reciprocal. If

x and y

are two variables in inverse variations, then

x ∝ 1 y ⇒ x = k 1 y ⇒ x = k y,        where k is proportianality constant ⇒ x y = k .... (1)

From option (1), we have
Question Image

From option (2), we have
Question Image

From option (3), we have
Question Image

From option (4), we have
Question Image

Since only the product

u v = k = 36,

therefore the pair

u and v

vary inversely with each other.
Hence, option (4) is correct.

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