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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2020

MathematicsEasysingle choice

If the planes $2 x - 5 y + z = 8$ and $2 λ x - 15 y + λ z + 6 = 0$ are parallel to each other, then value of $λ$ is

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Solution:

Given planes are parallel. Therefore normal vector to their plane is also parallel. $∴ \frac{2}{2 λ} = \frac{- 5}{- 15} = \frac{1}{λ} \Rightarrow \frac{1}{λ} = \frac{1}{3} \Rightarrow λ = 3$

Stream:MHT_CETSubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,

⏱ 2mℹ️ Source: PYQ_2020

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