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Mathematics
Mathematics
Problem
Let
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
and
B
(
4
,
0
)
B(4,0)
B
(
4
,
0
)
be two fixed points. If
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
satisfies
area
(
△
A
P
B
)
=
0
\text{area}(\triangle APB)=0
area
(
△
A
P
B
)
=
0
, then the locus of
P
P
P
is a)
x
=
0
x=0
x
=
0
b)
y
=
0
y=0
y
=
0
c)
x
=
4
x=4
x
=
4
d)
y
=
4
y=4
y
=
4
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