Exercise 10.1

How many tangents can a circle have?

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 ______.

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.

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.