A circle has centre and radius

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

Problem

A circle has centre

O

and radius

6\,\text{cm}

. A point

A

is located so that

OA = 10\,\text{cm}

. (a) Determine the number of tangents that can be drawn from

A

to the circle. Give a reason. (b) Find the length of each tangent segment drawn from

A

to the circle. (c) A second point

B

is such that

OB = 6\,\text{cm}

. How many tangents can be drawn from

B

to the circle? Explain briefly.