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Mathematics
Mathematics
Problem
Points
A
(
1
,
4
)
A(1,4)
A
(
1
,
4
)
and
B
(
7
,
−
2
)
B(7,-2)
B
(
7
,
−
2
)
are fixed. Point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
moves in the plane such that the area of
△
A
B
P
\triangle ABP
△
A
B
P
is
9
9
9
square units. State the nature of the locus of
P
P
P
and give one reason for your answer.
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