JEE Main 2019 — Hyperbola Question with Solution
From: JEE Main 2019 (Online) 9th April Morning Slot
Question
If the line y = mx + 7 is normal to the
hyperbola
, then a value of m is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given line y = mx + 7 .....(1)
Given hyperbola
Here and
We know the equation of normal to the hyperbola is
.....(2)
Comparing (1) and (2), we get
=
36m2 = 72 - 54m2
90m2 = 72
m2 =
m =
Given hyperbola
Here and
We know the equation of normal to the hyperbola is
.....(2)
Comparing (1) and (2), we get
=
36m2 = 72 - 54m2
90m2 = 72
m2 =
m =
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This is a previous-year question from JEE Main 2019, 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.