Class 9 Gravitation | NCERT Chapter 9 Exercise Q16 Solution Explained
📘 Class 10 Maths | Chapter 10 – Circles
🎯 NCERT Example 2 | Prove ∠PTQ = 2∠OPQ | Two Tangents from an External Point
In this video, we solve *Example 2* from **NCERT Class 10 Circles**, where:
👉 Two tangents TP and TQ are drawn from an external point T to a circle with centre O.
👉 Points P and Q are the points of contact on the circle.
We prove the geometric relationship:
∠PTQ = 2∠OPQ
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🔹 *What You’ll Learn:*
How to apply *Circle Theorems* (Theorem 10.1 and 10.2)
Properties of *Tangents from an External Point*
Using *Isosceles Triangles* and *Right Angles* to form angle relations
Step-by-step *Proof-based Geometry* with clear reasoning and visuals
Perfect for *Board Exam Preparation (CBSE 2025)*
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🔹 *Key Concepts Used:*
TP = TQ (Tangents from a point to a circle are equal in length)
Radius ⟂ Tangent at the point of contact → ∠OPT = ∠OQT = 90°
Triangle TPQ is *Isosceles*
Using *Angle Sum Property* and *Angle Subtraction* to prove the result
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