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Hyperbola

JEE Main 2023 (Online) 1st February Evening Shift

MCQ+4 / -12023

Let \(\mathrm{P}\left(x_{0}, y_{0}\right)\) be the point on the hyperbola \(3 x^{2}-4 y^{2}=36\), which is nearest to the line \(3 x+2 y=1\). Then \(\sqrt{2}\left(y_{0}-x_{0}\right)\) is equal to :

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