State the type of the quadratic surface: ( )² + ( )² + ( )² = 1 1. Ellipsoid 2. Hyperboloid of one sheet 3. Hyperboloid of two sheets 4. None of these Describe the trace obtained by intersecting with the plane z = 1: 1. Ellipse 2. Hyperbola 3. Circle 4. Empty set Note: You

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