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Find the equation of a plane which passe...

Find the equation of a plane which passes through the point (3, 2, 0) and contains the line `(x-3)/1=(y-6)/5=(z-4)/4`

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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