JEE Main 2020 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 8 January 2020, Shift 2, Maths Q74

Question 74 of 75 in this shift, Maths question 24 of 25, Section B.

Let a line

y = mx

(\mathrm{m} > 0)

intersect the parabola,

y^2 = x

at a point P, other than the origin. Let the tangent to it at P meet the

x

-axis at the point Q. If area

(\Delta \mathrm{OPQ}) = 4

sq. units, then m is equal to __________.

Official answer

0.50

NTA final key (Jan 2020).

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Tangent to General Conic (T=0)

Same idea in other shifts

Asked 6× 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.