Find the equations of the planes parallel to the plane `x+2y-2z+8=0` which are at distance of 2 units from the point `(2,1,1)dot`

Explanation

Equation of parallel plane,


`x+2 y-2 z+lambda=0`

Distance from `(2,1,1)`


`|frac{2+2(1)-2(1)+lambda}{sqrt{1^{2}+2^{2}+(-2)^{2}}}|=2 `

`|frac{2+lambda}{sqrt{9}}|=2 `

`lambda=pm 6-2 `

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