Mathematics · 2023
JEE Main · 30 January 2023, Shift 1 · Q68
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:
The number of points on the curve $\displaystyle y=54 x^5-135 x^4-70 x^3+180 x^2+210 x$ at which the normal lines are parallel to $\displaystyle x+90 y+2=0$ is :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 4$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.