If the equation of a plane is $lx + my + nz = p $ is in the normal form, then which one of the following i snot true ?

l, m and n are the direction cosines of the normal to the plane p is the length of the perpendicular from the origin to the plane the plane passes through the origin for all values of p $l^2 + m^2 + n^2 = 1$

the plane passes through the origin for all values of p

Since (0, 0, 0) does not satisfy the equation of the plane. So, it does not pass through the origin. Other options are true because the plane is in the standard normal form.