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Mathematics · 2022

JEE Main · 29 July 2022, Shift 2 · Q27

If the tangent to the curve y=x^3-x^2+x at the point (a, b ) is also tangent to the curve y=5 x^2+2 x-25 at the point (2,-1), then |2 a+9 b| is equal…

If the tangent to the curve $\displaystyle y=x^3-x^2+x$ at the point $\displaystyle (a, \mathrm{~b})$ is also tangent to the curve $\displaystyle y=5 x^2+2 x-25$ at the point $\displaystyle (2,-1)$, then $\displaystyle |2 a+9 b|$ is equal to \_\_\_\_
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.