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the equation of the plane passing thr...

the equation of the plane passing through the point (1,1,1) and perpendicular to the planes
`2x+y-2z=5and 3x-6y-2z=7,`is

A

`14x+2y-15z=1`

B

`-14x+2y+15z=3`

C

`14x-2y+15z=27`

D

`14x+2y+15z=31`

Text Solution

Verified by Experts

The correct Answer is:
D
Let the equation of plane e `ax+by+cz=1.` Then
`a+b+c=1`
`2a+b-2c=0`
`3a-6b-2c=0impliesa=7b,c=(15b)/(2)`
`b=(2)/(31),a=(14)/(31),c=(15)/(31)`
`:.14x+2y+15z=31`
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