JEE Main 2007 — Hyperbola Question with Solution
From: AIEEE 2007
Question
The normal to a curve at meets the -axis at . If the distance of from the origin is twice the abscissa of , then the curve is a :
Choose an option
Show full solutionCorrect option: B
Correct answer
Bhyperbola
Step-by-step explanation
Equation of normal at is
Coordinate of at axis is (let)
Co-ordinate of
Given distance of from origin twice of the abscissa of
as distance cannot be therefore abscissa should be
On Integrating
the curve is a hyperbola
Coordinate of at axis is (let)
Co-ordinate of
Given distance of from origin twice of the abscissa of
as distance cannot be therefore abscissa should be
On Integrating
the curve is a hyperbola
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This is a previous-year question from JEE Main 2007, covering the Hyperbola 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.