If p( 1q+ 1r) ,q( 1r+ 1p) ,r( 1p+ 1q) are in A.P., then p ,q ,r

Question

Accepted Answer

Correct answer: A. (a): We have, p( 1q+ 1r) ,q( 1r+ 1p) ,r( 1p+ 1q) are inA .P . ⇒p( 1q+ 1r)+1 ,q( 1r+ 1p)+1 ,r( 1p+ 1q)+1 are in A.P. ⇒ p( 1q+ 1r+ 1p) ,q( 1r+ 1p+ 1q) ,r( 1p+ 1q+ 1r) are in A.P. ⇒p ,q ,r are in A.P.

$If p (\frac{1}{q} + \frac{1}{r}), q (\frac{1}{r} + \frac{1}{p}), r (\frac{1}{p} + \frac{1}{q}) are in A.P., then p, q, r$

Solution

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