The plane $2 x-y+z=4$ 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 $\sqrt{5}$. If $a b

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The plane $2 x-y+z=4$ 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 $\sqrt{5}$. If $a b<0$ and $P$ is the point $(a-b, b, 2 b-a)$ then $C P^2$ is equal to: [JEE Main 2023, 29 Jan (Shift 2)]

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The plane \(2 x-y+z=4\) intersects the line segment joining the points \(A(a,-2,4)\) and \(B(2, b,-3)\) at the point \(C…

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