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The equation of the plane passing throug...

The equation of the plane passing through the point A(2,3,4) and parallel to the plane `5x-6y+7z=3`, is

A

`5x-6y+7z+20=0`

B

`5x-6y+7z-20=0`

C

`-5x+6y-7z+3=0`

D

`5x+6y+7z+3=0`

Text Solution

Verified by Experts

The correct Answer is:
B
the equation of any plane passing through (2,3,4) is
`a(x-2)+b(y-3)+c(z-4)=0` . . (i)
This plane is parallel to
`5x-6y+7z=3`
`therefore`DR's of this plane is same as that of Eq. (i)
`impliesa=5,b=-6,c=7`
`5(x-2)-6(y-3)+7(z-4)=0`
`implies5x-6y+7z-20=0`
which is the equation of required plane.
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