**Circles ncert solutions Chapter 10 Exercise 10.1 Question 3**

**3.** **A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. length PQ is:**

**(A) 12 cm (2) 13 cm (3) 8.5 cm (4) cm**

**Solution:**

It is given that radius of circle is equal to 5 cm. OQ isgiven equal to 12 cm.

According to the properties of tangent. A tangent makes right angle with radius of circle. Therefore, is .

We can apply Pythagoras theorem on to find length of side PQ.

**According to Pythagoras theorem, we have**

**cm**

**So, the answer is (D)**