The number of points on the curve y=54 x⁵-135 x⁴-70 x³+180 x²+210 x at which the normal lines are parallel to x+90 y+2=0 is:

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Morning shift · Q2790

JEE Main 202330 Jan, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

The number of points on the curve

y=54 x^{5}-135 x^{4}-70 x^{3}+180 x^{2}+210 x

at which the normal lines are parallel to

x+90 y+2=0

is :

JEE Main 2023 · 30 Jan, Morning shift · Q2790

JEE Main 202330 Jan, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

The number of points on the curve

y=54 x^{5}-135 x^{4}-70 x^{3}+180 x^{2}+210 x

at which the normal lines are parallel to

x+90 y+2=0

is :