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Question:
Why the image formed by using incident ray on the pole obliquely and incident rays parallel to the principal axis is different in case of a convex mirror ?
Answer:

A ray parallel to the principal axis, after reflection, will pass through the principal focus in case of a concave mirror or appear to diverge from the principal focus in case of a convex mirror

Parallel to principal axis

A ray incident obliquely to the principal axis, towards a point P (pole of the mirror), on the concave mirror or a convex mirror, is reflected obliquely. The incident and reflected rays follow the laws of reflection at the point of incidence (point P), making equal angles with the principal axis.

Oblique to principal focus

Hence, the images are different.

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