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The line perpendicular to the plane 2x-y...

The line perpendicular to the plane `2x-y+5z=4` passing through the point (-1,0,1) is

A

`(x+1)/(2)=-y=(z-1)/(-5)`

B

`(x+1)/(-2)=y=(z-1)/(-5)`

C

`(x+1)/(2)=-y=(z-1)/(5)`

D

`(x+1)/(2)=y=(z-1)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
The line perpendicular to the plane `2x-y+5z=4` abd passing through the point (-1,0,1) is given by
`(x+1)/(2)=(y-0)/(-1)=(z-1)/(5)rArr(x+1)/(2)=-y=(z-1)/(5)`
[`because` If line is perpendicular to the plane, then direction ratio of normal to the plane is proportional to the line ]
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