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The equation of the plane through the po...

The equation of the plane through the point (1,2,-3) which is parallel to the plane `3x-5y+2z=11` is given by

A

`3x-5y+2z-13=0`

B

`5x-3y+2z+13=0`

C

`3x-2y+5z+13=0`

D

`3x-5y+2z+13=0`

Text Solution

Verified by Experts

The correct Answer is:
D

Any plane parallel to the given plane is
`3x-5y+2z+lamda=0` . . . (i)
The point (1,2-3) lies in it, if `lamda=13`.
`:.` Equation of parallel plane is `3x-5y+2z+13=0`
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Knowledge Check

  • The equation of the plane through the point (1,2,3) and parallel to the plane x+2y+5z=0 is

    A
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    `6x+8y-10z=11`
    D
    `3x+4y-5z=2`
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    `5x-6y+7z=20`
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    `7x-6y+5z=72`
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