Let P(x₀, y₀) be the point on the hyperbola 3x² - 4y² = 36, which… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 1 February, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let $P(x_0, y_0)$ be the point on the hyperbola $3x^2 - 4y^2 = 36$ , which is nearest to the line $3x + 2y = 1$ . Then $\sqrt{2}\,(y_0 - x_0)$ is equal to:

A
$-3$
B
$9$
C
$-9$
D
$3$

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