If `x^a=y^b=c^c`, where `a,b,c` are unequal positive numbers and `x,y,z` are in GP, then `a^3+c^3` is :

If x,y,z are in GP and a^(x)=b^(y)=c^(z) then

If x,2y,z are in AP where the distinct numbers x,y,z are in GP.Then the common ratio of the GP is (A) 3 (B) (1)/(3)(C)2(D)(1)/(2)

IF x,2y,3z are in A.P. where x,y,z are unequal number in a G.P., then the common ratio of this G.P. is (a) 3 (b) 1/3 (c) 2 (d) 1/2

If x,y,z are in G.P and a^(x)=b^(y)=c^(z), then

If a,b,c,d are in A.P.and x,y,z are in G.P. then show that x^(b-c)*y^(c-a)*z^(a-b)=1

If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.

Given the system of equation a(x+y+z)=x, b(x+y+z)=y, c(x+y+z)= z where a,b,c are non-zero real numbers.If the real numbers are such that xyz!=0 ,then (a+b+c) is equal to