**Circles**

**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:**

**Question 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

**Solution:**

**Note:** PQ = √119

**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:**