JEE Main 2019MathematicsHyperbolaQuestion Based On Basic Definition And Parametric RepresentationmediumMCQ

JEE Main 2019Hyperbola Question with Solution

From: JEE Main 2019 (Online) 10th April Evening Slot

Question

If 5x + 9 = 0 is the directrix of the hyperbola 16x2 – 9y2 = 144, then its corresponding focus is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C(- 5, 0)

Step-by-step explanation



a = 3 and b = 4





e =

focus is (–ae, 0) = (–5, 0)

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Hyperbola chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

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.