Problem: Sketch by hand the graph of the plane 2x + 4y + z = 8. Draw the circle of radius one lying on

the plane and centered at (1, 1, 2). What is the radius of the largest circle lying on the plane and

centered at (1, 1, 2) that is wholly contained in the ﬁrst octant? Explain.

My answer:

I found the intercepts (4,0,0) , (0,2,0) , (0,0,8)

Then I sketched the plane in the first octant.

Completely lost with finding the largest circle.