SOLAR SYSTEM

UNIVERSE

CELESTIAL MECHANICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
All circles are ellipses and all ellipses are circles.
A
True
B
False
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -Yes, every circle is an ellipse. The formal definition of an ellipse is the set of all points such that the sum of the distance between those points and two fixed points (called the foci of the ellipse) is constant.

Detailed explanation-2: -A circle is a special case of an ellipse, with the same radius for all points. By stretching a circle in the x or y direction, an ellipse is created.

Detailed explanation-3: -An ellipse is the set of all points in a plane where the sum of the distances to two fixed points, called foci, is constant. A circle is a special form of an ellipse where both foci are at the center.

Detailed explanation-4: -Recall that circles are defined as the set of points in a plane that are a constant distance from a center point. Analogously, ellipses could be defined as a set of points in a plane for which the sum of the distances to two focus points is a constant.

Detailed explanation-5: -When the major and minor axes of an ellipse are equal in length, then an ellipse becomes a circle. The two foci (focus or focal points) combine to become one, i.e., the center. Thus, the following conditions make an ellipse a circle: Semi-major axis and semi-minor axis becomes equal (a = b)

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