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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 July 2022, Shift 2, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

If the line

x-1=0

is a directrix of the hyperbola

kx^2-y^2=6

, then the hyperbola passes through the point

(1) $\left(-2\sqrt{5},6\right)$
(2) $\left(-\sqrt{5},3\right)$
(3) $\left(\sqrt{5},-2\right)$ Official answer
(4) $\left(2\sqrt{5},3\sqrt{6}\right)$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.