In the figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120°, then prove that OR = PR + RQ.

Question

In the figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120°, then prove that OR = PR + RQ.
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Solution 1

Sure, here is the step by step solution:

Step 1: In the given figure, join OQ, OP and OR.

Step 2: Since the tangent at a point to a circle is perpendicular to the radius through the point of contact, ∠ORQ = ∠ORP = 90°.

Step 3: Now, in triangle ORQ and ORP, we have ∠ORQ = ∠ORP.

Step 4: Also, ∠OQR 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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