Show that the plane `2x-2y+z+12=0` touches the sphere `x^2+y^2+z^2-2x-4+2z-3=0.`

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

Show that the plane 2x-y-2z-4=0 touches the shpere x^2+y^2+z^2+2x-6y+1=0 .

Find the value of a for which the plane x+y+z-a=0 will touch the sphere x^2+y^2+z^2-2x-2y-2z-6=0

The plane 2x-2y+z+12=0 touches the surface x^2+y^2+z^2-2x-4y+2z-3=0 only at point (-1, lambda, -2) . The value of lambda must be

The plane 2x-2y+z+12=0 touches the surface x^2+y^2+z^2-2x-4y+2z-3=0 only at the point (-1, lambda, -2) . The value of lambda must be ___

Find the value of lambda for which the plane x+y+z=sqrt(3)lambda touches the sphere x^2+y^2+z^2-2x-2y-2z=6.