JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 22 July 2021, Shift 2, Maths Q68

Question 68 of 90 in this shift, Maths question 8 of 30, Section A.

Let a line

\mathrm{L}:2x+y=k

k>0

be a tangent to the hyperbola

x^2-y^2=3

. If

\mathrm{L}

is also a tangent to the parabola

y^2=\alpha x

, then

\alpha

is equal to :

(1) $-12$
(2) $12$
(3) $-24$ Official answer
(4) $24$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Condition for Line to be Tangent

Same idea in other shifts

Asked 7× in all

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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.