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Mathematics
Mathematics
Problem
On the parabola
y
2
=
8
x
y^{2}=8x
y
2
=
8
x
, the distance of a point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
from the focus equals
5
2
5\sqrt2
5
2
. The ordinate(s) of
P
P
P
are a)
{
40
2
+
16
,
−
40
2
+
16
}
\{\,\sqrt{40\sqrt2+16},\,-\sqrt{40\sqrt2+16}\,\}
{
40
2
+
16
,
−
40
2
+
16
}
b)
{
32
2
−
16
,
−
32
2
−
16
}
\{\,\sqrt{32\sqrt2-16},\,-\sqrt{32\sqrt2-16}\,\}
{
32
2
−
16
,
−
32
2
−
16
}
c)
{
40
2
−
16
,
−
40
2
−
16
}
\{\,\sqrt{40\sqrt2-16},\,-\sqrt{40\sqrt2-16}\,\}
{
40
2
−
16
,
−
40
2
−
16
}
d)
{
32
+
8
2
,
−
32
+
8
2
}
\{\,\sqrt{32+8\sqrt2},\,-\sqrt{32+8\sqrt2}\,\}
{
32
+
8
2
,
−
32
+
8
2
}
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