The planner section of ellipsoid x^2 + y^2 + z^2/4 =1 by the yz-plane is a circle
State true or false and Justify
In the yz-plane, all values for x are zero.
Since the section cuts the ellipsoid in the yz-plane, it will do so when/where x = 0.
This section is gotten by setting x = 0 in the ellipsoid x^2 + y^2 + z^2/4 = 1, giving
y^2 + z^2/4 = 1
which is an ellipse, of semi-major axis = 1 and semi-minor axis = 1/2, and is not a circle.
Hence the statement is false.