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Choose the correct option.
The planes 2x - y + 4z = 5 and 5x - 2· 5y + 10z = 6 are
The planes $2x - y + 4z = 5$ and $5x - 2\cdot 5y + 10z = 6$ are
- (a)parallel
- (b)intersect on y axis
- (c)perpendicular
- (d)pass through $(0, 0, \frac{5}{4})$
Answer
Answer
Correct option: (a)
Answer: (a) parallel
The normals are $(2, -1, 4)$ and $(5, -2.5, 10)$, and $\frac{5}{2} = \frac{-2.5}{-1} = \frac{10}{4} = 2.5$.
The normals are proportional, so the planes are parallel.