H.P

A,B,C ARE IN H.P THN A/B+C , B/C+A C/A+B IN

1 Answers

1357

Manish Shankar ·2008-12-29 00:36:32

1/A, 1/B, 1/C are in AP

multiply whole by A+B+C

(A+B+C)/A, (A+B+C)/B, (A+B+C)/C are in AP

1+(B+C)/A, 1+(A+C)/B, 1+(A+B)/C are in AP

subtracting 1 from each we get

(B+C)/A, (A+C)/B, (A+B)/C are in AP

taking reciprocals

A/(B+C), B/(A+C), C/(A+B) are in HP

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