What’s the point of being alive if you don’t at least try to do something remarkable. – **Unknown**

# Lecture - 4 Chapter 10 Circles

00:00:29 Chapter 10 Example 1 Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

00:06:10 Chapter 10 Example 2 Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that ∠ PTQ = 2 ∠ OPQ.

00:12:50 Chapter 10 Example 3 PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T (see Fig. 10.10). Find the length TP.

00:35:58 NCERT Exercise 10.2 Question 12 A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see Fig. 10.14). Find the sides AB and AC.