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The coordinates of three points are and respectively
MATHEMATICS · Subjective · ICSE · Mathematics · Geometry · Geometry
Problem
The coordinates of three points
O
,
A
,
B
O, A, B
O
,
A
,
B
are
(
0
,
0
)
,
(
4
,
0
)
(0, 0), (4, 0)
(
0
,
0
)
,
(
4
,
0
)
and
(
6
,
0
)
(6, 0)
(
6
,
0
)
respectively. A point
P
P
P
moves so that the area of
Δ
P
O
A
\Delta POA
Δ
P
O
A
is always twice the area of
Δ
P
O
B
\Delta POB
Δ
P
O
B
. Find the equation to both parts of the locus of
P
P
P
.
Related theory
Distance and Section in the Plane
Cartesian Coordinate System
Locus
Coordinate Geometry
Loci
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