JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 29 January 2024, Shift 1, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

If the points of intersection of two distinct conics

x^2+y^2=4b

and

\frac{x^2}{16}+\frac{y^2}{b^2}=1

lie on the curve

y^2=3x^2

, then

3\sqrt{3}

times the area of the rectangle formed by the intersection points is ______.

Official answer

432

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Family of Conics: Intersection of Two Conics

Same topic in other shifts

All General Conic Section questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.