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 (Shift 1)]

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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 …

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