An ellipse is an important conic section and is formed by intersecting a cone with a plane that does not go through the vertex of a cone. The ellipse is defined by two points, each called a focus. From any point on the ellipse, the sum of the distances to the focus points is constant. The position of the foci determine the shape of the ellipse. The ellipse is related to the other conic sections and a circle is actually a special case of an ellipse.
Sample Problems (20)
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Give an equation for an ellipse centered at the origin 10 units wide and 6 units tall?
|(x + 2)²||+||(y − 3)²||= 1|
Find the equation for an ellipse with foci (±6,0) and co-vertices at (0,±8).
Given 4x² + y² + 24x − 4y + 36 = 0.