**Circle :**If the cone is sliced parallel to the base, the resulting curve is a circle.**Ellipse:**If the cone is sliced on a slight angle, the curve is called an ellipse.**Parabola :**If the slice is made parallel to the edge of the cone, the curve formed is called a parabola.**Hyperbola:**If the slice is perpendicular to the base of the cone, the curve is one of two branches of a hyperbola.