Let $C$ be a circle of area $A$ with centre at $O$. Let $P$ be a moving point such that its distance from $O$ is always twice the length of a tangent drawn from $P$ to the circle. Then the point $P$ must move along\\
(A) the sides of a square centred at $O$, with area $\frac{4}{3}A$.\\
(B) the sides of an equilateral triangle centred at $O$, with area $4A$.\\
(C) a circle centred at $O$, with area $\frac{4}{3}A$.\\
(D) a circle centred at $O$, with area $4A$.