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The equation of the plane containing the...

The equation of the plane containing the two lines
`(x-1)/2=(y+1)/(-1)=z/3` and `x/(-1)=(y-2)/3=(z+1)/(-1)` is

A

`8x-y+5z-8=0`

B

`8x+y-5z-7=0`

C

`x+8y+3z+6=0`

D

`8x+y-5z+7=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Equation of plane is
`a(a-1)+b(y-1)+cz=0`
`(because` plane is passing through `(1,-1,0))` Above plane also passing through (0,2-1)
`therefore -a+3b-x=0`
Also `2a-b+3x=0`
`impliesa/8=b/1c/-5`
Hence, equation of plane is
`8x+y5z-7=0`
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