Exercise 10.1

How many tangents can a circle have?

A tangent to a circle intersects it in _____ point(s). [Answer in words]

 A line intersecting a circle at two points is called a _____.  $\left(\mathrm{Tangent} / \mathrm{Secant}\right)$

 A circle can have _____ parallel tangents at the most. $\left(\mathrm{One} / \mathrm{Two} / \mathrm{Three}\right)$

The common point of a _____ to a Circle and the Circle is called a Point of Contact.

A tangent $\mathrm{}\mathrm{P}\mathrm{Q}$ at a point $\mathrm{}\mathrm{P}$ of a circle of radius $5 \mathrm{c}\mathrm{m}$ meets a line through the centre $\mathrm{}\mathrm{O}$ at a point $\mathrm{}\mathrm{Q}\mathrm{}$ so that $\mathrm{O}\mathrm{Q}=12 \mathrm{c}\mathrm{m}$. Length $\mathrm{}\mathrm{P}\mathrm{Q}\mathrm{}$ is

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.