1. The problem statement, all variables and given/known data A surface is given by the equation 2x2+y2-z2=64 Find all points p on the surface where the tangent plane is parallel to the plane 12x+y-3z=0. 2. Relevant equations I know the equation of a plane tangent to a surface at point (x0,y0,z0) is given by the equation z-z0= (partialz/partialx)(x0-y0)+(partialz/partialy)(x0-y0) 3. The attempt at a solution I can use the above equation to find the tangent plane at any certain point p, but I don't know how to find which ones are parallel to a certain plane.