**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.2 Question 6**

**6. In fig, A, B and C are points on OP, OQ and OR respectively such that AB PQ and AC PR. Show that BC QR.**

**Solution:**

In POQ, it is given that AB PQ.

Therefore, by Basic Proportionality theorem, we can say that **(1)**

In POR, It is given that AC PR.

Therefore, by Basic Proportionality theorem, we can say that **(2)**

From** (1) and (2)**, we can say that

Therefore, by the Converse of Basic Proportionality theorem, we can say that BC QR.

**Hence Proved**