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An equation of a plane parallel to the plane $x - 2 y + 2 z - - 5 = 0$ and at a unit distance from the origin is

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x-2y+2z-7=0

x-2y+2z+5=0

x-2y+2z-3=0

x-2y+2z+1=0

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detailed solution

Correct option is C

The required plane is x-2y+2z+k=0. The distance to the plane from origin = 1⇒|k|1+4+4=1⇒k=±3

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An equation of a plane parallel to the plane x-2y+2z--5=0 and at a unit distance from the origin is

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An equation of a plane parallel to the plane $x - 2 y + 2 z - - 5 = 0$ and at a unit distance from the origin is