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Choose the correct answer. The planes 2x-y+4z=5 and 5x-2.5y+10z=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)

Text Solution

Verified by Experts

The correct Answer is:
Since `2/3 = (-1)/-2.5 = 4/10 = 1/2.5`, the direction ratios of the normals to the given planes are proportional
`therefore` Th normals are parallel. Hence, the planes are parallel
`threfore` The answer is (B)
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