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Harmonic Mean

If a, 8, b ar...

Question

If a, 8, b are in A.P; a, 4, b are in G.P; a, x, b are in H.P then x $=$

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Solution

The correct option is A 2
Given,
$a, 8, b$ are in A.P; $a, 4, b$ are in G.P; $a, x, b$ are in H.P
=> $a + b = 16$
and $a b = 16$
now $x = \frac{2 a b}{a + b} = 2$

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