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Definition of Ellipse

What is ellip...

Question

What is ellipse ?

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Solution

An ellipse is a curve on a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.

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Q. Consider an ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

What is the area included between the ellipse and the greatest rectangle inscribed in the ellipse?

Q. Consider an ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

.What is the area of the greatest rectangle that can be inscribed in the ellipse ?

What is the length of latusrectum of the ellipse $16 x^{2} + y^{2} = 16 ?$

Q. What is the center of the ellipse?

(x - 1)^{2}

\frac{y^{2}}{25}

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Q. What is the length of the latus rectum of the ellipse

25 x^{2} + 16 y^{2} = 400 ?

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