If `1/a+1/(a-2b)+1/c+1/(c-2b)=0 and a,b,c` are not in A.P., then

If (b+c-a)/(a) , (c+a-b)/(b) , (a+b-c)/(c) are in A.P. then prove that (1)/(a),(1)/(b),(1)/(c) are also in A.P.

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

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

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

"If "(1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P.

"If "(1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P.

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.

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

If 1/(a+b),1/(b+c),1/(c+a) are in A.P., then c^2,a^2,b^2 are in A.P.

If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b-c), (1)/(c-a), (1)/(a-b) are also in A.P.