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Mathematics
Mathematics
Problem
A point
P
P
P
moves inside a triangle formed by
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
,
B
(
1
,
1
3
)
B\left(1, \frac{1}{\sqrt{3}}\right)
B
(
1
,
3
1
)
,
C
(
2
,
0
)
C(2,0)
C
(
2
,
0
)
such that
min
{
P
A
,
P
B
,
P
C
}
=
1
\min\{PA, PB, PC\} = 1
min
{
P
A
,
P
B
,
P
C
}
=
1
, then the area bounded by the curve traced by
P
P
P
, is a.
3
3
−
3
π
2
3\sqrt{3} - \frac{3\pi}{2}
3
3
−
2
3
π
b.
3
+
π
2
\sqrt{3} + \frac{\pi}{2}
3
+
2
π
c.
3
−
π
2
\sqrt{3} - \frac{\pi}{2}
3
−
2
π
d.
3
3
+
3
π
2
3\sqrt{3} + \frac{3\pi}{2}
3
3
+
2
3
π
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