Three normals with slopes are drawn from a point
not on the axis of the parabola
, results in the locus of
being a part of the parabola, find the value of
4
1
2
3
Any normal of slope to the parabola
is
If it passes through , then
Thus
Now
Now satisfies equation (2)
Thus locus of is
( does not lie on the axis of the parabola)
If it is a part of the parabola , then
Hence option 3 is correct.
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