JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 28 June 2022, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

Let

l

be a line which is normal to the curve

y=2x^2+x+2

at a point P on the curve. If the point Q(6, 4) lies on the line

l

and O is origin, then the area of the triangle OPQ is equal to __________.

Official answer

NTA final key.

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Normals Passing Through a Given Point

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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.