The value of k , such that 1 x − 4 = 1 y − 2 = 2 z − k lies on the plane 2 x − 4 y + z = 7 , is

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Mathematics3D-Coordinate GeometryMiscellaneous/MixedEasy2 minPYQ_2022

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The value of $k$ , such that $\frac{x - 4}{1} = \frac{y - 2}{1} = \frac{z - k}{2}$ lies on the plane $2 x - 4 y + z = 7$ , is

Answer:

Solution:

To lie the line on the plane, the point on the line must lie on the plane $\Rightarrow 2 \times 4 - 4 \times 2 + k = 7 \Rightarrow k = 7$

Stream:MHT_CETSubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2022

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