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The plane, which passes throught the poi...

The plane, which passes throught the point (3,2,0) and line `(x - 3)/1 = (y - 6)/5 = (z - 4)/4` is

A

`x-y+z=1`

B

`x+y+z=5`

C

`x+2y-z=1`

D

`2x-y+z=5`

Text Solution

Verified by Experts

The correct Answer is:
a
The required plane is `|[x-3,y-6,z-4],[3-3,2-6,0-4],[1,5,4]|=0`
or `|[x-3,y-z-2,z-4],[0,0,-4],[1,1,4]|=0`
`("Operating"C_(2)toC_(2)-C_(3))`
or `4(x-3-y+z+2)=0`
or `x-y+z=1`
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CENGAGE PUBLICATION-THREE-DIMENSIONAL GEOMETRY -SINGLE CORRECT ANSWER TYPE
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