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Problem
Problem
Prove that the chord
y
−
x
2
+
4
a
2
=
0
y - x\sqrt{2} + 4a\sqrt{2} = 0
y
−
x
2
+
4
a
2
=
0
is a normal chord of the parabola
y
2
=
4
a
x
y^2 = 4ax
y
2
=
4
a
x
. Also, find the point on the parabola when the given chord is normal to the parabola.
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