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In a right circular cone a line from the vertex to the center of the circular base is perpendicular to the base. In an oblique circular cone that same line will not be perpendicular.
The axis of a right circular cone is perpendicular to every radius or diameter of the base.
No. A hyperbola is formed when a plane slices a cone perpendicular to the bases.
A "perpendicular bisector" is a line. There are no triangles of any kind in a line.
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