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Mathematics
Problem
For the parabola
y
2
=
4
a
x
(
a
>
0
)
y^{2}=4ax\,(a>0)
y
2
=
4
a
x
(
a
>
0
)
, a point
P
(
9
a
,
6
a
)
P(9a,6a)
P
(
9
a
,
6
a
)
is given. Which one of the following points (other than
P
P
P
itself) is at the same distance from the focus
(
a
,
0
)
(a,0)
(
a
,
0
)
as
P
P
P
? a)
(
−
9
a
,
6
a
)
(-9a,6a)
(
−
9
a
,
6
a
)
b)
(
9
a
,
−
6
a
)
(9a,-6a)
(
9
a
,
−
6
a
)
c)
(
5
a
,
6
a
)
(5a,6a)
(
5
a
,
6
a
)
d)
(
−
9
a
,
−
6
a
)
(-9a,-6a)
(
−
9
a
,
−
6
a
)
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