## Chapter 10 Circles Ex 10.1

**Question 1.**
**How many tangents can a circle have?**
**Solution:**

There can be infinitely many tangents to a circle.

**Question 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 ……….. .
**Solution:**
**(i)** One
**(ii)** Secant
**(iii)** Two
**(iv)** Point of contact.

**Question 3.**

**Solution:**

**Question 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.**
**Solution:**

A line m is parallel to the line n and a line l which is secant is parallel to the given line.