From an external point two tangents and are drawn to a circle with centre and radius

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

Problem

From an external point

P

two tangents

PA

and

PB

are drawn to a circle with centre

O

and radius

3\,\text{cm}

. The length of each tangent from

P

4\,\text{cm}

. From another external point

Q

, situated farther from

O

, two tangents of length

6\,\text{cm}

are drawn to the same circle. (i) Find the distance

OP

. (ii) Find the distance

OQ

. (iii) Calculate

OQ-OP