The light rays come back along the same path because the incident rays fall on the mirror along the normal to the reflecting surface.
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The reason for light falling on the centre of curvature gets reflected back along the same path is due to the angle of incidence and the angle of reflection lie along the normal for a concave mirror.
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The reason for light falling on the centre of curvature gets reflected back along the same path is due to the angle of incidence and the angle of reflection lie along the normal for a concave mirror. ... Hence, the incident ray coincides with the normal.
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