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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Easy2 minPYQ_2023

MathematicsEasysingle choice

The perpendicular distance of the origin from the plane $x - 3 y + 4 z - 6 = 0$ is

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Answer:

Solution:

Length of perpendicular from point $O (0, 0, 0)$ to plane $x - 3 y + 4 z - 6 = 0$ is given by $d = \frac{0 ( 1 ) + 0 ( - 3 ) + 0 ( 4 ) - 6}{( 1 ) ^{2} + ( - 3 ) ^{2} + ( 4 ) ^{2}} = \frac{- 6}{1 + 9 + 16} = \frac{6}{26}$

Stream:MHT_CETSubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Plane (Equations)

⏱ 2mℹ️ Source: PYQ_2023

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