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If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b...

If `a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b)` are in A.P. prove that `a ,\ b ,\ c` are in A.P.

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If a(1/b +1/c) , b (1/c +1/a),c(1/a +1/b) are in AP , prove tht a^(2)(b+c) ,b^(2) (c+a) , c^(2) (a+b) are in AP.

if (1)/(b+c),(1)/(c+a),(1)/(a+b) are in A.P. prove that a^(2),b^(2),c^(2) are also in A.P.

Knowledge Check

  • If (1)/(b+c),(1)/(c+a),(1)/(a+b) are in A.P., then

    A
    a,b,c are in A.P.
    B
    `a^(2),b^(2),c^(2)` are in A.P.
    C
    `(1)/(a),(1)/(b),(1)/( c)` are in A.P.
    D
    none of these

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