MathDB

Find the locus of the points M - [Iran Second Round 1984]

Source:

December 30, 2010

geometry proposedgeometry

Problem Statement

Let

B

and

C

be two fixed point on the plane

P.

Find the locus of the points

M

on the plane

P

for which

MB^2 + kMC^2 = a^2.

(

k

and

a

are two given numbers and

k>0.

)