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The answer will depend on what, if anything, the line segments have to do with the ellipse.
Common term is an oval Mathematical is an ellipse
Both the ellipse and the hyperbola has an x squared and a y squared term. In the ellipse, they are both positive. In the hyperbola, one of them is negative. Example: 3x^2 /36 + 5y^2 / 64 = 1 (ellipse) 3x^2 / 36 - 5y^2 / 64 = 1 (hyperbola)
No.
Yes, they are.