Question

Write the equation of a plane which is at a distance of 5√3 units from origin and the normal to which is equally inclined to coordinate axes.

Answer 1

Since, the normal to the plane is equally inclined with coordinates axis, therefore its direction cosines

[ If l, m and n are DC's of normal to the plane and P is a distance of a plane from origin, then equation of plane is given by lx + my + nz = p].