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
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
So, the answer is (D)