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Mathematics
Mathematics
Problem
Points
A
(
3
,
−
2
)
A(3,-2)
A
(
3
,
−
2
)
and
B
(
11
,
6
)
B(11,6)
B
(
11
,
6
)
are fixed. Find the coordinates of a point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
such that: (i)
P
P
P
is equidistant from
A
A
A
and
B
B
B
, and (ii) the line
A
P
AP
A
P
is parallel to the line
4
x
−
5
y
+
1
=
0
4x-5y+1=0
4
x
−
5
y
+
1
=
0
. a)
(
67
9
,
−
14
9
)
\left(\dfrac{67}{9},-\dfrac{14}{9}\right)
(
9
67
,
−
9
14
)
b)
(
14
9
,
67
9
)
\left(\dfrac{14}{9},\dfrac{67}{9}\right)
(
9
14
,
9
67
)
c)
(
67
9
,
14
9
)
\left(\dfrac{67}{9},\dfrac{14}{9}\right)
(
9
67
,
9
14
)
d)
(
59
9
,
14
9
)
\left(\dfrac{59}{9},\dfrac{14}{9}\right)
(
9
59
,
9
14
)
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