class 10 maths circles ex 10.2

Описание: class 10 maths circles ex 10.2

In this video, I have explained Class 10 Maths Chapter 10 – Circles in a complete and detailed manner. This is a full chapter one-shot lecture, specially designed for CBSE / State Board students to build strong concepts and score maximum marks in board exams.
This video is ideal for: ✔ Board exam preparation
✔ School & unit tests
✔ Concept clarity from basics
✔ Last-minute revision
🔍 Topics Covered in This Video
✅ Introduction to Circles
✅ Tangent to a Circle
✅ Number of Tangents from a Point
✅ Theorems on Tangents
✅ Proof of Important Theorems
✅ Solved Examples
✅ Important Board Questions
✅ Previous Year Question Patterns
✅ Step-by-Step Numerical Problems
📚 Why This Video is Important?
✔ Full chapter explained in simple language
✔ Board-oriented approach
✔ All important theorems with proofs
✔ Best for concept building + practice
✔ Suitable for CBSE & State Board exams
📝 Chapter Details
📌 Subject: Mathematics
📌 Class: 10
📌 Chapter: Circles
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timestamps :
Introduction to Exercise 10.2: The video starts by introducing Exercise 10.2 and mentioning that the two theorems have already been covered (0:00-0:06).
Solving Question 1 (Finding the Radius): This segment focuses on solving the first question, which involves finding the radius of a circle given the length of a tangent and the distance from the center to the point of tangency. The solution uses the Pythagorean theorem (0:09-2:40).
Understanding Quadrilateral Properties with Tangents: The speaker explains the property of quadrilaterals formed by two tangents from an external point to a circle, specifically how the angles add up to 360 degrees, and the sum of the angles at the center and the external point is 180 degrees (2:41-4:18).
Solving Question 2 (Finding an Angle in a Quadrilateral): This section demonstrates how to find an unknown angle in a quadrilateral formed by tangents, using the property explained earlier. The solution involves applying the sum of angles in a quadrilateral and the perpendicularity of the radius to the tangent (4:21-7:29).
Solving Question 3 (Finding Angle POA using Congruence): The video tackles a question where the angle between two tangents from an external point is given, and the goal is to find the angle POA. The solution involves proving the congruence of two triangles formed by the tangents, radii, and the line connecting the center to the external point, and then using angle sum property (7:31-13:35).
Proving Tangents Drawn at the Ends of a Diameter are Parallel: This segment explains how to prove that tangents drawn at the ends of a diameter of a circle are parallel to each other. The proof relies on showing that the alternate interior angles formed are equal (13:37-16:41).