Mathematics

Problem

For a circle with centre

O

and radius

6\,\text{cm}

, answer the following: a. (i) How many tangents can be drawn from a point

P

such that

OP = 6\,\text{cm}

? b. (ii) How many tangents can be drawn from a point

Q

such that

OQ = 4\,\text{cm}

? c. (iii) How many tangents can be drawn from a point

R

such that

OR = 10\,\text{cm}