MathDB

Consider the circle

\gamma

with center at point

(0,3)

and radius

3

, and a line

r

parallel to the axis

Ox

at a distance

3

from the origin. A variable line through the origin meets

\gamma

at point

M

and

r

at point

P

. Find the locus of the intersection point of the lines through

M

and

P

parallel to

Ox

and

Oy

respectively.

Problem Statement