Grade 11Algebra
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 ?
1 Answer
Arun
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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