The planes: `2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6`are(A) Perpendicular (B) Parallel(C) intersect y-axis (D) passes through `(0,0,5/4)`
The planes: `2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6`are(A) Perpendicular (B) Parallel(C) intersect y-axis (D) passes through `(0,0,5/4)`
A. perpendicular
B. parallel
C. intersect y-axis
D. passes through `(0,0,5/4)`
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Correct Answer - B
Direction of the given planes are `(2,-1,4)` and `(5,-2.5,10)`
`:. 2/5 = (-1)/(-2.5) = (4)/(10) rArr (4)/(10) = 4/10 = 4/10`
Therefore, `(a_(1))/(a_(2)) = (b_(1))/(b_(2)) = (c_(1))/(c_(2))`
So, the given planes are parallel.
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