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Avinash_Bhat (625)

Blazing goIITian

Olaaa!! Perrrfect answer. 103  [158 rates]

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3)
 
1/(b - a) + 1/(b - c) = 1/a + 1/c
 
ie, 1/(b - a)  -  1/c  =  1/a  -  1/(b - c)
 
=> (c - b + a)/(bc - ac)  =  (b - c - a)/(ab - ac)
 
=> (a - b + c)/(bc - ac)  =  - (a - b + c)/(ab - ac)
 
=> bc - ac  =  ac - ab
 
=> b  =  2ac/(a + c)
 
=> a, b, c in H.P.    
 this reply: 2 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
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