Let a and b be be two distinct positive real numbers. Let 11^th term of a GP, whose first term is a and third term is b, is equal to p^th term of…

Let $\displaystyle a$ and $\displaystyle b$ be be two distinct positive real numbers. Let $\displaystyle 11^{\text {th }}$ term of a GP, whose first term is $\displaystyle a$ and third term is $\displaystyle b$, is equal to $\displaystyle p^{\text {th }}$ term of another GP, whose first term is $\displaystyle a$ and fifth term is $\displaystyle b$. Then $\displaystyle p$ is equal to