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The equation of the plane passing throug...

The equation of the plane passing through (2,1,5) and parallel to the plane 3x-4y+5z=4 is

A

`3x-4y+5z-27=0`

B

`3x-4y+5z+21=0`

C

`3x-4y+5z+26=0`

D

`3x-4y+5z+17=0`

Text Solution

Verified by Experts

The correct Answer is:
A
The eqution of the plane passing through (2,1,5) and parallel to the plane `3x-4y+5z=4` is
`3x-4y+5z+k=0`
On substituting coordinates (2,1,5), we get
`3xx2-4xx1+5xx5+k=0rArrk=-27`
So, the equation of plane is `3x-4y+5z-27=0`
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