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Mathematics · 2022

JEE Main · 27 July 2022, Shift 2 · Q26

For the curve C:(x^2+y^2-3)+(x^2-y^2-1)^5=0, the value of 3 y^′-y^3 y^′ ′, at the point (α, α), α>0, on C, is equal to \ \ \ \.

For the curve $\displaystyle \mathrm{C}:\left(x^2+y^2-3\right)+\left(x^2-y^2-1\right)^5=0$, the value of $\displaystyle 3 y^{\prime}-y^3 y^{\prime \prime}$, at the point $\displaystyle (\alpha, \alpha)$, $\displaystyle \alpha>0$, on C, 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.