MathDB
Problems
Contests
National and Regional Contests
Iran Contests
Iran MO (2nd Round)
1984 Iran MO (2nd round)
7
7
Part of
1984 Iran MO (2nd round)
Problems
(1)
Find the locus of the points M - [Iran Second Round 1984]
Source:
12/30/2010
Let
B
B
B
and
C
C
C
be two fixed point on the plane
P
.
P.
P
.
Find the locus of the points
M
M
M
on the plane
P
P
P
for which
M
B
2
+
k
M
C
2
=
a
2
.
MB^2 + kMC^2 = a^2.
M
B
2
+
k
M
C
2
=
a
2
.
(
k
k
k
and
a
a
a
are two given numbers and
k
>
0.
k>0.
k
>
0.
)
geometry proposed
geometry