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Mathematics · 2019

JEE Main · 9 April 2019, Shift 1 · Q78

If the tangent to the curve, y=x^3+ a x- b at the point (1,-5) is perpendicular to the line, -x+y+4=0, then which one of the following points lies on…

If the tangent to the curve, $\displaystyle y=x^3+\mathrm{a} x-\mathrm{b}$ at the point $\displaystyle (1,-5)$ is perpendicular to the line, $\displaystyle -x+y+4=0$, then which one of the following points lies on the curve ?
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.