JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 August 2021, Shift 2, Maths Q68

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

Equation of a tangent to the curve,

y=2\int_0^x|t|\,dt

which is parallel to the line,

2x-y=13

(1) $y=2x+13$
(2) $y=2x+1$ Official answer
(3) $y=2x-7$
(4) $y=2x$

Official answer

Option 2

NTA final key.

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Tangents to Piecewise/Modulus Functions

Same topic in other shifts

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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.