Ellipses and Circles. Section 10.3. 1 st Definition of a Circle. A circle is a conic section formed by a plane intersecting one cone perpendicular to the axis of the double-napped cone. The degenerate conic section that is associated with a circle is a point. 2 nd Definition of a Circle.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
A circle is a conic section formed by a plane intersecting one cone perpendicular to the axis of the double-napped cone.
A circle is the set of all points P in a plane that are the same distance from a given point.
An ellipse is a conic section formed by a plane intersecting one cone not perpendicular to the axis of the double-napped cone.
The standard form of the equation of an ellipse, with center (h, k) and major and minor axes of lengths 2a and 2b respectively, where 0 < b < a,
where the major axis is horizontal.
where the major axis is vertical.
The foci lie on the major axis, c units from the center, with c2 = a2 – b2.
What type of ellipse is this ellipse?
(2, 3), (2, −5)
(3, −1), (1, −1)
B. The endpoints of the major axis are at (10, 2) and (–8, 2). The foci are at (6, 2) and (–4, 2).
C. The major axis is 20 units in length and parallel to the y-axis. The minor axis is 6 units in length. The center is located at