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Conic Sections Circle Ellipse Parabola Hyperbola
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Why are they called Conic Sections? If we have a cone as shown below and we use a rectangular plane to slice it when it is: Perpendicular to the Y-Axis Tilted The plane is parallel to one of the sides When the plane is tilted in such a way that it also slices the upper part of the cone
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When viewed from the top the resulting shapes would be a circle ellipse, parabola and hyperbola respectively Circle Ellipse
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Circles General Formula : x^2+y^2 = r^2 A circle is the set of points in a plane that are equidistant from a given point . If the circle is shifted, equate the x and y components to 0 to find the new center of the circle then solve for the radius
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