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Slope of a Line

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consider an ellipse whose centre is at the origin and its major axis is along xaxis.If the ecentricity is 3/5 and distance b/w its foci is 6 then area of the quadrilateral inscribed in the ellipse with vertices as the vertices of the ellipse is:

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Q. Consider an ellipse, whose centre is at the origin and its major axis is along the x-axis. If its eccentricity is

\frac{3}{5}

and the distance between its foci is

6

, then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is.

Q. Area of the quadrilateral formed by the ends of major axis and minor axis of an ellipse is

8 \sqrt{3}

. The distance between the foci is

4 \sqrt{2}

, then the eccentricity of the ellipse is:

Q. Arrange the eccentricities of the following ellipses in particular order.

A- Ellipse whose Latus rectum is half of its major axis.

B- Ellipse whose distance between the foci is equal to the distance between a focus and one end of minor axis

C- Ellipse whose major axis is double the minor axis.

D- Ellipse whose distance between the foci is

6

and the length of minor axis is

8

.

Q. In an ellipse, the distance between its foci is

6

and minor axis is

8

. Then its eccentricity is

Q. The equation of the ellipse whose centre is at origin, major axis is along x-axis with eccentricity

\frac{3}{4}

and latus rectum

4

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