EXERCISE - 9.1

A line intersecting a circle in two points is called a _____ .

The number of tangents drawn at the end points of the diameter is _____ .

The common point of a tangent to a circle and the circle is called _____ of contact. (point/line)

We can draw _____ tangents to a given circle.

A tangent $\mathrm{PQ}$ at a point $\mathrm{P}$ of a circle of radius $5$ cm meets a line through the centre $\mathrm{O}$ at a point $\mathrm{Q}$ so that $\mathrm{OQ}=13$ cm. Find the length of $\mathrm{PQ}$.

Draw a circle and two lines parallel to a given line such that one is tangent and the other, a secant to the circle.

Calculate the length of the tangent from a point $15$ cm away from the centre of a circle of radius $9$ cm.

Prove that the tangents to a circle at the endpoints of a diameter are parallel.