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if a b c are in hp then a/b+c-a b/c+a-b c/a+b-c are in which progession ?

if a b c are in hp then a/b+c-a b/c+a-b c/a+b-c are in which progession ?

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Vaibhav
 
a, b, c are in H.P.
 
1/a , 1/b , 1/c are in A.P.
 
(a + b + c) /2a , (a + b + c)/2b , (a + b + c)/2c are in A.P.
 
(a + b + c) /2a – 1 , (a + b + c)/2b – 1 , (a + b + c)/2c – 1 are in A.P.
b + c – a / 2a , a +c – b/2b , a + b – c/2c are in A.P.
 
b + c – a /a , a +c – b/b , a + b – c/c are in A.P.
 
Hence
 
a / b + c – a  ,b/ a +c – b ,  c/ a + b – c are in H.P..

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