Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Morning shift · Q27

JEE Main 202227 Jul, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

M

and

N

be the number of points on the curve

y^{5}-9 x y+2 x=0

, where the tangents to the curve are parallel to

x

-axis and

y

-axis, respectively. Then the value of

M+N

equals ___________.

Your answerType your answer. Integers and decimals are accepted.

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