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  • If b+c-2a / a , c+a -2b / b , a+b-2c /c are in A.P , then a,b , c are in

If b+c-2a / a , c+a -2b / b , a+b-2c /c are in A.P , then a,b , c are in

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Solution:    We have ,

                    fracb+c-2aa,fracc+a-2bb,fraca+b-2ac  are in A.P

          Rightarrow      fracb+c-2aa+3,fracc+a-2bb+3,fraca+b-2cc+3   are in A.P

        Rightarrow      fraca+b+ca,fraca+b+cb,fraca+b+cc, are inA.P

       Rightarrow        frac1a,frac1b,frac1c    are in A.P

     Rightarrow           a,b,c   are in H.P   

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Deependra Verma

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