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The line of greatest slope on an incline...

The line of greatest slope on an inclined plane `P_1` is that line in the plane which is perpendicular to the line of intersection of plane `P_1` and a horiontal plane `P_2`.
Q. Assuming the plane `4x-3y+7z=0` to be horizontal, the direction cosines of line greatest slope in the plane `2x+y-5z=0` are

A

`(3)/(sqrt(11)), -(1)/(sqrt(11)), (1)/(sqrt(11))`

B

`(3)/(sqrt(11)), (1)/(sqrt(11)), -(1)/(sqrt(11))`

C

`-(3)/(sqrt(11)), (1)/(sqrt(11)), (1)/(sqrt(11))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(a)
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