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3d Geometry

JEE Main 2023 (Online) 29th January Evening Shift

MCQ+4 / -12023

The plane \(2x-y+z=4\) intersects the line segment joining the points A (\(a,-2,4)\) and B (\(2,b,-3)\) at the point C in the ratio 2 : 1 and the distance of the point C from the origin is \(\sqrt5\). If \(ab < 0\) and P is the point \((a-b,b,2b-a)\) then CP\(^2\) is equal to :

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