Convex and concave mirrors have the same radii of curvature R. The distanc between the
mirrors is 2R. At what point on the common optical axis of the mirrors should a point source of
light A be placed for the rays to coverage at the point A after being reflected first on the convex
and then on the concave mirror?

Explanation

To solve the problem step by step, we need to analyze the situation involving a convex mirror and a concave mirror with the same radius of curvature \( R \) and a distance of \( 2R \) between them. We will find the position of the point source of light \( A \) on the common optical axis so that the rays converge back at point \( A \) after reflection from both mirrors.

### Step 1: Define the parameters
Let:
- The radius of curvature of both mirrors, \( R \).
- The distance between the mirrors, \( 2R \).
- The position of the point source of light \( A \) be at a distance \( x \) from the convex mirror.

...