JEE Main 2007 — Parabola Question with Solution
From: AIEEE 2007
Question
The equation of a tangent to the parabola is . The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Parabola
We know that the locus of point of intersection of two perpendicular tangents to a
parabola is its directrix. Point must be on the directrix of parabola
as equation of directrix
Hence the point is
We know that the locus of point of intersection of two perpendicular tangents to a
parabola is its directrix. Point must be on the directrix of parabola
as equation of directrix
Hence the point is
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This is a previous-year question from JEE Main 2007, covering the Parabola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.