Question

define centre of curvature of a spherical mirror

Answer 1

Centre of Curvature of a spherical mirror is defined as the mirror which was part of another specific imaginary mirror.

Answer 2

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Here is your answer
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The centre of curvature of a spherical mirror is the centre of the imaginary sphere of which, mirror is a part. In the figure it is marked as C .
In case of concave mirror, centre of curvature lies in front of it, while in case of convex mirror, the centre of curvature lies behind it.