The center of conicoid x^2/4 + y^2/4 - z^2/4 = 1, lies on the plane x=1
State true or false and justify
The conicoid x^2/4 + y^2/4 - z^2/4 = 1 is a one-sheet hyperboloid - a central conicoid and as such has a centre at (0, 0, 0).
The centre does not lie on the plane x = 1.
The statement is false.