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Problem
Problem
The normals at
P
,
Q
,
R
P, Q, R
P
,
Q
,
R
on the parabola
y
2
=
4
a
x
y^2 = 4ax
y
2
=
4
a
x
meet in a point on the line
y
=
c
y = c
y
=
c
. Prove that the sides of the
Δ
P
Q
R
\Delta PQR
Δ
P
QR
touch the parabola
x
2
=
2
c
y
x^2 = 2cy
x
2
=
2
cy
.
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