Mathematics · 2022
JEE Main · 30 July 2022, Shift 2 · Q76
Let the curves y^2=k x and x y=-1 have a common tangent, whose slope is 1/2. Then k can NOT lie in the interval
Let the curves $\displaystyle y^2=k x$ and $\displaystyle x y=-1$ have a common tangent, whose slope is $\displaystyle \frac{1}{2}$.
Then $\displaystyle k$ can NOT lie in the interval
Official answer
(3)
[-$\displaystyle 4$, -$\displaystyle 3$)
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.