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If a,b,c are in A.P , prove that :(I) (a+2b-c)(2b+c-a)(c+a-b)=4abc(II) (a^2)(b+c),(b^2)(c+a),(c^2)(a+b) are also in A.P(III) (1/bc) ,(1/ca),(1/ab) are also in A.P

Answer» If a,b,c are in A.P , prove that :
(I) (a+2b-c)(2b+c-a)(c+a-b)=4abc
(II) (a^2)(b+c),(b^2)(c+a),(c^2)(a+b) are also in A.P
(III) (1/bc) ,(1/ca),(1/ab) are also in A.P


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