Class 10 Maths Circles | Example 2 | ∠PTQ = 2∠OPQ Proof | NCERT Chapter 10

📚 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* chapter, where: 👉 Two tangents TP and TQ are drawn from an external point T to a circle with center O 👉 Points P and Q are the points of contact on the circle We prove the geometric relationship: \[ \angle PTQ = 2\angle OPQ \] 🧠 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 A perfect example to prepare for board-level geometry proofs 📐 Key Concepts Used: TP = TQ (Tangents from a point to a circle are equal in length) Radius perpendicular to tangent at point of contact: \( \angle OPT = \angle OQT = 90^\circ \) Triangle TPQ is isosceles Using angle sum property and angle subtraction to prove the result 📥 For Video Lectures and NCERT Solutions of Class 9 and Class 10 (Maths & Science): Download our Android App now: 📱 https://play.google.com/store/apps/de... 📌 Don’t forget to Like, Share & Subscribe for more helpful videos 📞 Call us: 999-266-1556 🌐 Visit: www.saraswatividyamandir.com #Class10Maths #NCERTCircles #GeometryProofs #TangentsToCircle #Example2 #AngleProofs #CBSE2025 #SaraswatiVidyamandir #MathsWithShivangSir