Exercise

Number of tangents can be drawn to a circle parallel to the given tangent is _____. Express your answer in words.

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 circle can have _____ parallel tangents at the most.

Write the number in words.

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

Express your answer in centimetre(cm).

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

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

Express your answer in centimetre(cm).

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