This not a circle, both the squared terms must have the same coefficients if it might be a circle. Different signs indicate a hyperbola.
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circle and ellipse are closed curved conic section!, from bilal , Pakistan
Ellipse circle
Circles, parabolas, ellipses, and hyperbolas are all conic sections. Out of these conic sections, the circle and ellipse are the ones which define a closed curve.
To find the wheels on a bicycle. wheels of a car, tire
A conic section is the intersection of a plane and a cone. By changing the angle and location of intersection, we can produce a circle, ellipse, parabola or hyperbola; or in the special case when the plane touches the vertex: a point, line or 2 intersecting lines.Traditionally, the three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it is sometimes called the fourth type of conic section.