From a point P outside a circle with centre O, tangents PA and PB are drawn to the circle. Prove that OP is the right bisector of the segment AB.

Question

From a point P outside a circle with centre O, tangents PA and PB are drawn to the circle. Prove that OP is the right bisector of the segment AB.
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Solution 1

To prove that OP is the right bisector of the segment AB, we need to show two things:

  1. OP bisects AB, i.e., AP = BP and,
  2. OP is perpendicular to AB, i.e., ∠APB = 90°.

Step 1: Proving AP = BP Since PA and PB are tangents to the circle from an external point P, they are equal in length. This is Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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