Question

If a, b, c are in G.P. and a^1/x = b^1/y = c^1/z, then xyz are in 

A. AP 

B. GP 

C. HP 

D. none of these

Answer 1

Correct answer is A. AP

Given: 

a,b,c are in GP 

Let us assume 

As a,b,c, are in GP b 2 =ac 

⇒ k ^2y =k^x .k^z 

=k^x+z 

⇒ 2y = x+z

∴ x,y,z are in AP