Constructing a Line of given length

Q. Mark the points between the rays $PA$ and $PB$ (both included) which lie at a certain distance, say $d$, from a point $P$, where $PC=d$. How many such points exist?

1. Infinite points, between the rays $PA$ and $PB$
2. Only $2$ points, each on the rays $PA$ and $PB$
3. Only $1$ point, on the ray $PA$
4. $0$