How can we prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre

Answers (1)

Let P be the point of contact and PT be the tangent at the point on the circle with centre O.
since OP is the radius of the circle and pt is a tangent at P , OP perpendicular PT.
thus the perpendicular at the point of contact to the tangent passes through the centre.

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