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 P OQ = 12 cm. Find length of PQ.

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 ……………

v. We can draw ……………….. tangents to a given circle.

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.

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

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