JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 25 July 2022, Shift 2, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

Let the area enclosed by the

x

-axis, and the tangent and normal drawn to the curve

4x^3-3xy^2+6x^2-5xy-8y^2+9x+14=0

at the point

(-2,3)

A

. Then

8A

is equal to ___________.

Official answer

170

NTA final key.

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Area of Triangle Formed by Tangent and Normal

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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.