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ISI B.Math Entrance Exam
2005 ISI B.Math Entrance Exam
7
7
Part of
2005 ISI B.Math Entrance Exam
Problems
(1)
B.Math - Area locus
Source:
6/20/2012
Let
M
M
M
be a point in the triangle
A
B
C
ABC
A
BC
such that
area
(
A
B
M
)
=
2
ā
area
(
A
C
M
)
\text{area}(ABM)=2 \cdot \text{area}(ACM)
area
(
A
BM
)
=
2
ā
area
(
A
CM
)
Show that the locus of all such points is a straight line.
geometry
Locus
area of a triangle