Geometry in Parabola!
Geometry
Level
3
Consider a parabolic mirror with vertex \(O\). A light ray originating from focus \(S\) of the parabola, strikes the mirror at a point \(P\) such that it gets deviated by \(30^{\circ}\) after reflection.
Now, if we draw a tangent at point \(P\) to the same parabola, it intersects the tangent at vertex at point \(Q\). Find \(\angle OSQ\) (in degrees).
The image is not drawn to scale.
by
Prakhar Gupta