If A and B are the points of intersection of the circle x^2 +y^2-8 x=0 and the hyperbola \frac{x^2}{9}-\frac{y^2}{4}=1 and a point P moves on the line 2 x-3 y+4=0, then the centroid of \triangle P A B lies on the line: [28 Jan 2025 Shift 2]

JEE Main 28 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 13 of 75

Marks: +1, -0

If A and B are the points of intersection of the circle x2 +y2−8x=0 and the hyperbola ‌

−‌

=1 and a point P moves on the line 2x−3y+4=0, then the centroid of △PAB lies on the line:

[28 Jan 2025 Shift 2]

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