(a) Draw the ray diagram for the formation of image of an object by a convex mirror and use it (along with the sign convention) to derive the mirror formula.
(b) Use the mirror formula to show that for an object, kept between the pole and focus of a concave mirror the image appears to be formed behind the mirror.

Explanation

### Step-by-Step Solution

#### (a) Ray Diagram and Derivation of the Mirror Formula for a Convex Mirror

1. **Draw the Convex Mirror**: Start by sketching a convex mirror. Label the mirror with its principal axis, the pole (P), the focus (F), and the center of curvature (C).

2. **Position the Object**: Place an object (AB) in front of the convex mirror. The object should be upright and perpendicular to the principal axis.

...