The planes: $2x - y + 4z = 5$ and $5x - 2.5y + 10z = 6$ are
(A) Perpendicular
(B) Parallel
(C) Intersect y-axis
(D) Pass through $\left( {0,0,\cfrac{5}{4}} \right)$
The planes: $2x - y + 4z = 5$ and $5x - 2.5y + 10z = 6$ are
(A) Perpendicular
(B) Parallel
(C) Intersect y-axis
(D) Pass through $\left( {0,0,\cfrac{5}{4}} \right)$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
Option B is correct
The direction ratios of planes are $< 2, - 1,4 >$ and $< 5, - 2.5,10 >$
Here, $\cfrac{2}{5} = \cfrac{{ - 1}}{{ - 2.5}} = \cfrac{4}{{10}}$
which is true.
$\therefore$ The given planes are parallel.
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