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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)`ab+bc=2b^(2)`
(ii) `(a-c)^(2)=4(b^(2)-ac)`
(iii) `a^(2)+c^(2)+4ca=2(ab+bc+ca).`

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