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If 1/a,1/b,1/c are in A.P. prove that: ...

If `1/a,1/b,1/c` are in A.P. prove that:
(i)`(b+c)/a,(c+a)/b,(a+b)/c` are also in A.P.
(ii) `a(b+c),b(c+a),c(a+b)` are also in A.P.

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