The locus of point of intersection of tangent to the parabolas and which are perpendicular to each other is :
The equation of any tangent to
The equation of any tangent to
It is given that (1) and (2) are perpendicular. Therefore,
Putting ? in (2), we get
The point of intersection of (1) and (3) is given by solving (1) and (2)
On subtracting (3) from (1), we get
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