1 a 1 b 1 c are in ap
Asked by admin @ in Math viewed by 332 People
If 1/a , 1/b , 1/c are in AP. Then PT. b+c/a , c+a/b, a+b/c are in AP
Asked by admin @ in Math viewed by 332 People
If 1/a , 1/b , 1/c are in AP. Then PT. b+c/a , c+a/b, a+b/c are in AP
Answered by admin @
GIVEN :–
Terms 1/a , 1/b , 1/c are in A.P.
TO PROVE :–
(b+c)/a , (c+a)/b , (a+b)/c are in A.P.
SOLUTION :–
• According to the question –
=> 1/a , 1/b , 1/c are in A.P.
• Now multiply with (a + b + c) —
• Now , we should write this as –
• Now subtract 1 from all terms –
(Hence proved)
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