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

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

Let equation of plane parallel to plane `x+2y-2z+18=0`

`x+2y-2z+lambda = 0 “…..”(1)`

Perpendicular distance from `(2,1,1)` to this plane

`|(2+2-2+lambda)/(sqrt(1+4+4))|=|(lambda+2)/(3)|`

Given that `|(lambda+2)/(3)| = 3 rArr (lambda+2)/(3) = +-3`

`rArr lambda+2=+-9`

`rArr lambda = 7` or ` lambda = – 11`

From eq. (1)

Required equations of planes

`x+2y-2z+7=0`

or `x+2y-2z-11 = 0`.