i) Find the distance from the origin to the line y = 1, z = 2. Answer: $\displaystyle \sqrt{5}$

Find a cartesian equation of the plane which contains the line in (i) and which is farthest from the origin.

Attempt: Plane = (0, 0, 0) + t(0, 1, 0) + s(0, 0, 2) t, s E R

The answer in the memorandum is y + 2z = 5. I am confused.