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Algebra

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Joined:	10 Mar 2010
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10 Mar 2010 09:24:35 IST

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a/b+c,b/c+a,c+a/b are in HP show that a,b,c are in HP

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a/b+c,b/c+a,c+a/b are in HP show that a,b,c are in HP

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manish gupta

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Joined: 5 Mar 2010

Posts: 51

10 Mar 2010 10:31:14 IST

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Using Harmonic mean condition

b/(c+a) = 2*c/(a+b) *a/(b+c)/ c/(a+b) + a/(b+c)

on cross multiplying and solving we get b= 2ac/(a+c) hence abc are in hp

Dasvidaniya

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Joined: 9 May 2009

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10 Mar 2010 10:43:07 IST

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http://www.goiit.com/posts/list/algebra-if-a-b-c-are-in-h-p-then-prove-that-a-b-c-b-c-a-c-a-1004388.htm

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