Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Medium2 minPYQ_2021

MathematicsMediumsingle choice

The coordinates of the foot of the perpendicular drawn from the origin to the plane $2 x + y - 2 z = 18$ are

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$2 x + y - 2 z = 18$ Dividing both sides $(2)^{2} + (1)^{2} + (- 2)^{2} = 3$ , we get $(\frac{2}{3}) x + (\frac{1}{3}) y - (\frac{2}{3}) z = 6$ Hence length of perpendicular from origin to the plane is 6 . Therefore coordinates of foot of perpendicular are $[(\frac{2}{3}) (6), (\frac{1}{3}) (6), (\frac{- 2}{3}) (6)]$ i.e. $(4, 2, - 4)$

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

⏱ 2mℹ️ Source: PYQ_2021

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