Back to all chapters
# Isometries

Symmetries are one of the most beautiful part of Geometry. Slide into reflections, rotations, translations, and more, and you'll be on your way to geometric artistry.

If not, prove why not. If it's possible, how can you do it?

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.

**Note:** The parallelogram has no special properties as of a rectangle or a rhombus.

×

Problem Loading...

Note Loading...

Set Loading...