If a, b and c are in H.P., then the value of `((ac+ab-bc)(ab+bc-ac))/(abc)^2` is

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If a, b, c are all non-zero and a+b+c=0, prove that a^2/b c+b^2/c a+c^2/a b=3. (PVIf a, b, c are all non-zero and a+b+c=0, prove that a^2/b c+b^2/c a+c^2/a b=3. (PV
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