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

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

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 (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 (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.

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.

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

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

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