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Question
The planes: 2x − y + 4z = 5 and 5x − 2.5y + 10z = 6 are
(A) Perpendicular
(B) Parallel
(C) intersect y-axis
(C) passes through `(0,0,5/4)`
Solution
The equations of the planes are
2x − y + 4z = 5 … (1)
5x − 2.5y + 10z = 6 … (2)
It can be seen that,
Therefore, the given planes are parallel.
Hence, the correct answer is B.
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