MathDB

6

Part of 1984 Spain Mathematical Olympiad

Problems(1)

locus in analytic geometry

Source: Spanish Mathematical Olympiad 1984 P6

8/2/2018
Consider the circle γ\gamma with center at point (0,3)(0,3) and radius 33, and a line rr parallel to the axis OxOx at a distance 33 from the origin. A variable line through the origin meets γ\gamma at point MM and rr at point PP. Find the locus of the intersection point of the lines through MM and PP parallel to OxOx and OyOy respectively.
Locusanalytic geometrygeometry