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 :

STATEMENT-1 : If a^(x) = b^(y) = c^(z) , where x,y,z are unequal positive numbers and a, b,c are in G.P. , then x^(3) + z^(3) gt 2y^(3) and STATEMENT-2 : If a, b,c are in H,P, a^(3) + c^(3) ge 2b^(3) , where a, b, c are positive real numbers .

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

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

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

If a,b,c 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 x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G.P, then the common ratio of the G.P. is a. 3 b. 1/3 c. 2 d. 1/2

If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G.P, then the common ratio of the G.P. is a. 3 b. 1/3 c. 2 d. 1/2

If a, b, c are in A.P., a, x, b are in G.P., and b, y, c are in G.P., then (x, y) lies on :