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The equation of plane passing through th...

The equation of plane passing through the line of intersection of the planes `x + 2y + 3z = 2 and x – y + z = 3` and perpendicular the plane `x – y + z – 3 = 0` is :

A

`5x – 11y + z = 17`

B

`x + 8y + 7z = 0`

C

`x + 7y + 8z = 0`

D

`5x + 4y + 11z = 9`

Text Solution

Verified by Experts

The correct Answer is:
B
Equation of required plane is
`(x+2y+3z-2)+lambda(x-y+z-3)=0`
`(lambda+1)+(lambda-2)+(lambda+3) = 0`
`3lambda = 2, lambda = -2/3`
So equation of required plane is
`x+8y+7z=0` .
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