# People who keep guests out of their house

**Geometry**Level 4

A ray of light is traveling parallel to the diameter of a sphere through a hole at a point A as shown in the figure. The inner surface of the sphere is made perfectly reflecting. Find the number of reflections suffered by the ray before coming out of the sphere.
###### This problem has been taken from

**Details and assumptions**:

The ray of light can come out of A only and at any angle with the incident ray.

###### This problem has been taken from *FIITJEE GMP* book.

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