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If a, b, c are in A.P., then prove that ...

If a, b, c are in A.P., then prove that :
(i) `b+c,c+a,a+b" are also in A.P."`
(ii) `(1)/(bc),(1)/(ca),(1)/(ab)" are also in A.P."`
(iii) `(a(b+c))/(bc),(b(c+a))/(ca),(c(a+b))/(ab)" are also in A.P."`

Text Solution

AI Generated Solution

To prove the statements given in the question, we start with the assumption that \( a, b, c \) are in Arithmetic Progression (A.P.). This means that: \[ 2b = a + c \] ### (i) Proving that \( b+c, c+a, a+b \) are in A.P. ...
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