prove that perpendicular at point of contact to a circle passes through centre
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prove that perpendicular at point of contact to a circle passes through centre
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O is the center of the given circle.
A tangent PR has been drawn touching the circle at point P.
Draw QP ⊥ RP at point P,
such that point Q lies on the circle
Hence, perpendicular at the point of contact to the tangent to a circle passes through the center of the circle.