Question

If $x>1$ and $x^{-a},x^{-b},x^{-c}$ in G.P, $a,b,c$ are in

• A. A.P
• B. H.P
• C. G.P
• D. None of these

Answer 1

The correct option is A A.P

Given

$x^{-2b}=x^{-a}{x}^{-c}=x^{-(a+c)}$

Taking $log$ with base $x$ on both sides

$2b=a+c$

Hence, A is correct