JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 25 February 2021, Shift 1, Maths Q89

Question 89 of 90 in this shift, Maths question 29 of 30, Section B.

The locus of the point of intersection of the lines

(\sqrt{3})\mathrm{k}x + \mathrm{k}y - 4\sqrt{3} = 0

and

\sqrt{3}\,x - y - 4(\sqrt{3})\,\mathrm{k} = 0

is a conic, whose eccentricity is __________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Condition for a Hyperbola

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 108 of the 174 JEE Main shifts held from 2017 to 2026.