The plane intersects the cylinder in an ellipse. Find the points on this ellipse that are closest to and farthest from the origin.

Question

The plane    intersects the cylinder    in an ellipse. Find the points on this ellipse that are closest to and farthest from the origin.

Answer

Closest: (1,0,0) and (0,1,0); Farthest: (-  , -  ,   )

Answer

Closest: (1,0,0); Farthest: (0,-1,2)

Answer

Closest: (  ,   , 0); Farthest: (-1,-1,3)

Answer

Closest: (0,0,1); Farthest: (1,1,-1)

Crowdly