If `(b+c-a)/a,(c+a-b)/b,(a+b-c)/c ` are in A.P., then a, b,c are in:

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If a, b, c are in A.P., then show that: b+c-a, c+a-b, a+b-c are in A.P. If a, b, c are in A.P., then show that: b+c-a, c+a-b, a+b-c are in A.P.
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If `a, b, c` are in A.P, then show that: `b+c-a ,\ c+a-b ,\ a+b-c` are in A.P. If `a, b, c` are in A.P, then show that: `b+c-a ,\ c+a-b ,\ a+b-c` are in A.P.
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If a, b, c, are in A.P, then show that a(b+c)/bc , b(c+a)/ca , c(a+b)/ab are also in A.P[ HSLC 2017] If a, b, c, are in A.P, then show that a(b+c)/bc , b(c+a)/ca , c(a+b)/ab are also in A.P[ HSLC 2017]
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