" If b is the harmonic mean between a and "6" ,then prove that "(1)/(b-a)+(1)/(b-c)=(1)/(a)+(1)/(c)

If b is the harmonic mean between a and c, then prove that (1)/(b-a)+(1)/(b-c)=(1)/(a)+(1)/(c)

If b is the harmonic mean between a and c, then prove that (1)/(b - a) + (1)/(b - c) = (1)/(a) + (1)/(c)

If b is the harmonic mean between a and c, then prove that (1)/(b - a) + (1)/(b - c) = (1)/(b) + (1)/(c)

If 2^a=3^b=6^(-c) , then prove that (1)/(a)+(1)/(b)+(1)/(c )=0 .

If a+b+c=6 and a,b,c in R^(+) then prove that (1)/(6-a)+(1)/(6-b)+(1)/(6-c)>=(3)/(4)

If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n) + b^(n)) , then n =

If a, b and c are in G.P and x and y, respectively , be arithmetic means between a,b and b,c then prove that a/x+c/y=2 and 1/x+1/y=2/b

In a triangle ABC, prove that (1+(b-c)/a)^a*(1+(c-a)/b)^b*(1+(a-b)/c)^cle1 .

If a, b, c and d are in harmonic progression, then (1)/(a), (1)/(b), (1)/(c) and (1)/(d) are in ______ progression.

If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2