Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q11
If the tangent at the point (x_1, y_1) on the curve y=x^3+3 x^2+5 passes through the origin, then (x_1, y_1) does NOT lie on the curve:
If the tangent at the point $\displaystyle \left(x_1, y_1\right)$ on the curve $\displaystyle y=x^3+3 x^2+5$ passes through the origin, then $\displaystyle \left(x_1, y_1\right)$ does NOT lie on the curve :
Official answer
(4)
$\displaystyle \frac{x}{3}-y^2=2$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.