The center of conicoid x^2/4+..... (Analytical Geometry)

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
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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.

by Level 11 User (81.5k points)
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