JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 27 July 2022, Shift 1, Maths Q26

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

Let

M

and

N

be the number of points on the curve

y^5 - 9xy + 2x = 0

, where the tangents to the curve are parallel to

x

-axis and

y

-axis, respectively. Then the value of

M + N

equals ________.

Official answer

NTA final key.

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Tangents Parallel to Coordinate Axes

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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.