Question
Explain why a convex mirror always forms a virtual and diminished image, irrespective of the object’s position.

Answer

A convex mirror is a diverging mirror, meaning it spreads out parallel light rays after reflection. Its focus (F) and center of curvature (C) are behind the mirror, hence virtual.
Image
When light rays from an object strike a convex mirror, they diverge. These diverging rays, when extended backward, appear to meet at a point behind the mirror, forming a virtual image. Due to this divergence and the geometry, the virtual image is always formed between the pole and the principal focus, and it is always erect and diminished compared to the object.

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