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Prove that the perpendicular at the …

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Prove that the perpendicular at the point of contact of the tangent to a circle passes through the centre.
  • 1 answers

Muzaif Ur Rahman 1 year, 9 months ago

In circle C(O,r) AB is a tangent CONST. Join OA AND OB And OC PROOF IN TRIANGLE(OAC) & TRIANGLE(OBC) OC=OC -----common side ANGLE OAC = OBC ANGLE C=90° ------ BY RADIUS TANGENT THEORM THEREFORE BY RHS CRITERIA TRIANGLE OAC=OBC THEREFORE OC IS PERPENDICULAR TO AB hence PROVED
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