If the line 1 x − 4 = 1 y − 2 = 2 z − k lies in the plane 2 x − 4 y + z = 7 , then the value of k is

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Mathematics3D-Coordinate GeometryMiscellaneous/MixedEasy2 minPYQ_2009

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If the line $\frac{x - 4}{1} = \frac{y - 2}{1} = \frac{z - k}{2}$ lies in the plane $2 x - 4 y + z = 7$ , then the value of $k$ is

Answer:

Solution:

The point $(4, 2, k)$ on the line also lies on the plane $2 x - 4 y + z = 7$ So, $8 - 8 + k = 7 \Rightarrow k = 7$

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

⏱ 2mℹ️ Source: PYQ_2009

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