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Mathematics
Mathematics
Problem
The points
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
and
B
(
6
,
0
)
B(6,0)
B
(
6
,
0
)
are fixed. The point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
moves such that the area of
△
A
B
P
\triangle ABP
△
A
B
P
is
9
square units
9\,\text{square units}
9
square units
. Write the equation(s) of the locus of
P
P
P
.
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