JEE Main 2013 — Hyperbola Question with Solution
JEE Main 2013 (23 Apr Online)
Question
A tangent to the hyperbola meets -axis at and -axis at . Lines and are drawn such that OPRQ is a rectangle (where is the origin). Then lies on :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Equation of the tangent at the point ' ' is
By squaring and adding,
Now, given of hyperbola is R lies on i.e.,
Now, given of hyperbola is R lies on i.e.,
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This is a previous-year question from JEE Main 2013, 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.