is a point on the parabola
. The normal at
cuts the parabola again at
. If
subtends a right angle at the vertex of the parabola, find the slope of
.
Let
Let the normal at cut the parabola at
and let
Then we know that
Equation of
The combined equation of the lines is obtained by making the equation of the parabola homogeneous with the help of
we write
Since are perpendicular,
Hence option 4 is correct.
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