If A and B are the points of intersection of the circle x² + y² -… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 28 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

If $A$ and $B$ are the points of intersection of the circle $x^2 + y^2 - 8x = 0$ and the hyperbola $\frac{x^2}{9} - \frac{y^2}{4} = 1$ , and a point $P$ moves on the line $2x - 3y + 4 = 0$ , then the centroid of $\triangle PAB$ lies on the line:

A
$4x - 9y = 12$
B
$x + 9y = 36$
C
$9x - 9y = 32$
D
$6x - 9y = 20$

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