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What are the special cases of ellipse?

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Miracle Math

C^2 = a^2-b^2.
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Maths and science coaching from IX to XII class and competition exams

If you put a=b then equation of ellipse reduces to x^2+y^2=a^2 and it becomes circle that is the special case of ellipse.
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When a=b it must be a circle.
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