JEE Main 2023 — Hyperbola Question with Solution
From: JEE Main 2023 (Online) 11th April Morning Shift
Question
Let R be a rectangle given by the lines and . Let A and B and , be such that the line segment AB divides the area of the rectangle R in the ratio 4 : 1. Then, the mid-point of AB lies on a :
Choose an option
Show full solutionCorrect option: A
Correct answer
Ahyperbola
Step-by-step explanation
We have, be a rectangle formed by the lines , and
Let be the rectangle such that
units and units
Area of rectangle units units
Area of Area of rectangle
Let be the mid-point of .
Here,
or and
On substitute values of and in Eq. (i), we get
Let be the rectangle such that
units and units
Area of rectangle units units
Area of Area of rectangle
Let be the mid-point of .
Here,
or and
On substitute values of and in Eq. (i), we get
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This is a previous-year question from JEE Main 2023, 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.