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Question

If the harmonic mean between a and b be H, then the value of 1Ha+1Hb

A
a+b
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B
ab
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C
1a+1b
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D
1a1b
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Solution

The correct option is C 1a+1b
H is harmonic mean between a and b
H=2aba+b
Therefore, 1Ha+1Hb=12aba+ba+12aba+bb
=a+baba2+a+babb2=a+bba(1a1b)=a+bab=1a+1b
Hence, option 'C' is correct.

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