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Saturday, 31 October

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JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 30 July 2022, Shift 2, Maths Q76

Question 76 of 90 in this shift, Maths question 16 of 30, Section A.

Let the curves

y^2 = kx

and

xy = -1

have a common tangent, whose slope is

\frac{1}{2}

. Then

k

can NOT lie in the interval

(1) $(2, 4]$
(2) $(-3, -1)$
(3) $[-4, -3)$ Official answer
(4) $(1, 3)$

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.