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If the plane 2x-y+z=0 is parallel to the...

If the plane `2x-y+z=0` is parallel to the line `(2x-1)/2=(2-y)/2=(z+1)/a`, then the value of a is

A

`4`

B

`-4`

C

`2`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Given line can be rewritten as
`(x-1/2)/1=(y-2)/(-2)=(z+1)/a`
If any line parallel to plane, then
`a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2)=0`
Here `(a_(1),b_(1),c_(1))=(2,-1,1)`
and `(a_(2),b_(2),c_(2))=(1,-2,a)`
`2(1)-2(-1)+a(1)=0`
`impliesa=-4`
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