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Question

H1,H2 are 2H.M.s between a and b then H1+H2H1,H2=

A
aba+b
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B
a+bab
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C
abab
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D
abab
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Solution

The correct option is C a+bab
since H1,H2 are two H.M & between a and b
so,
a,H1,H2,b is a H.P
1a,1H1,1H2,1b is an A.P
1H11a=1b1H2
1H1+1H2=1b+1a
H1+H2H1H2=a+bab

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