# Exercise 10.1, Chapter 10 Class 10 Circles

Exercise 10.1, Chapter 10 Class 10 Circles

**1. How many tangents can a circle have?**

**Answer:**

There can be **infinite** tangents to a circle. A circle is made up of infinite points which are at an equal distance from a point. Since there are infinite points on the circumference of a circle, infinite tangents can be drawn from them.

**2. Fill in the blanks:**

**(i) A tangent to a circle intersects it in …………… point(s).**

**(ii) A line intersecting a circle in two points is called a ………….**

**(iii) A circle can have …………… parallel tangents at the most.**

**(iv) The common point of a tangent to a circle and the circle is called …………**

**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**

**(B) 13 cm**

**(C) 8.5 cm**

**(D) √119 cm**

**4. Draw a circle and two lines parallel to a given line such that one is a tangent and the**

**other, a secant to the circle.**