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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPerpendicular distance of a point from a planeMedium2 minQB

MathematicsMediumsingle choice

The equation of the plane through (1,2,3) and at the maximum distance from the origin is

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Answer:

Solution:

The plane at the greatest distance from the origin is perpendicular to the line joining the origin to (1,2,3), so its normal has direction ratios (1,2,3). The plane is $(x - 1) + 2 (y - 2) + 3 (z - 3) = 0$ , i.e. $x + 2 y + 3 z = 14$ .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Perpendicular distance of a point from a plane

⏱ 2mℹ️ Source: QB

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