If $\frac{a+b}{1-a b}, b, \frac{b+c}{1-b c}$ are in A.P. then $a^{-1}, b, c^{-1}$ are in

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

\frac{a+b}{1-a b}, b, \frac{b+c}{1-b c}

are in A.P. then

a^{-1}, b, c^{-1}

are in

View answer and explanation

Correct option: A

A.P.

Option A (A.P.) is correct because the given condition leads to the reciprocals of a and c being in arithmetic progression.

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