A line meets the coordinate axes at and

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

A line meets the coordinate axes at

A

and

B

. A circle is circumscribed about the triangle

OAB

. If the distance of the points

A

and

B

from the tangent at

O

, the origin, to the circle are

m

and

n

respectively, find the equation of the circle.