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3d Geometry

JEE Main 2023 (Online) 25th January Morning Shift

INTEGER+4 / -12023

Let the equation of the plane passing through the line \(x - 2y - z - 5 = 0 = x + y + 3z - 5\) and parallel to the line \(x + y + 2z - 7 = 0 = 2x + 3y + z - 2\) be \(ax + by + cz = 65\). Then the distance of the point (a, b, c) from the plane \(2x + 2y - z + 16 = 0\) is ____________.

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