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Mathematics
Mathematics
Problem
The coordinates of point P on the line
2
x
+
3
y
+
1
=
0
2x + 3y + 1 = 0
2
x
+
3
y
+
1
=
0
such that
∣
P
A
−
P
B
∣
|PA - PB|
∣
P
A
−
P
B
∣
is maximum, where
A
(
2
,
0
)
A(2, 0)
A
(
2
,
0
)
and
B
(
0
,
2
)
B(0, 2)
B
(
0
,
2
)
is - (A)
(
5
,
−
3
)
(5, -3)
(
5
,
−
3
)
(B)
(
7
,
−
5
)
(7, -5)
(
7
,
−
5
)
(C)
(
9
,
−
7
)
(9, -7)
(
9
,
−
7
)
(D)
(
11
,
−
9
)
(11, -9)
(
11
,
−
9
)
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