Basics of Ellipse
Basics of Ellipse: Overview
This topic covers concepts such as Ellipse, Ellipse as a Conic Section, Ellipse as Locus of Point Having Constant Ratio between Distances from a Point and a Line, Second Degree General Equation and Ellipse, Standard Equation of Ellipse, etc.
Important Questions on Basics of Ellipse
Find the eccentricity, foci and directrices of the ellipse:
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Find the length of the focal chord of the ellipse , which is inclined to the major axis at angle .

Find the length of the focal chord of the ellipse , which is inclined to the major axis at angle .

Find the length of the focal chord of the ellipse , which is inclined to the major axis at angle .

Find the length of the focal chord of the ellipse , which is inclined to the major axis at angle .

Suppose that the chord joining the points on the ellipse intersects the major-axis at . Show that .

Suppose that the chord joining the points on the ellipse intersects the major-axis at . Show that .

The equation of the chord joining two points having eccentric angles an the ellipse is

If are the eccentric angles of the extremities of a focal chord of an ellipse . Then the eccentricity of the ellipse.

If are the eccentric angles of the extremities of a focal chord of an ellipse and its eccentricity is . Then show that .

Find the equation of the ellipse whose axes are parallel to the coordinate axes and centre is and passes through two given points .

Draw the following standard equation of an ellipse using coordinates of vertices, coordinates of foci and equation of directrices. Then find the eccentricity of the ellipse.

Draw the following standard equation of an ellipse using coordinates of vertices, coordinates of foci and equation of directrices. Then find the eccentricity of the ellipse.

Draw the following standard equation of an ellipse using coordinates of vertices, coordinates of foci and equation of directrices. Then find the eccentricity of the ellipse.

Draw the following standard equation of an ellipse using coordinates of vertices and foci. Then find the eccentricity of the ellipse.

Draw the following standard equation of an ellipse using coordinates of vertices and foci. Then find the eccentricity of the ellipse.

Find the equation of ellipse with centre at origin, major axis on the -axis and satisfying
Length of major axis and eccentricity

Find the equation of ellipse having foci at passing through.

Find the equation of ellipse having foci at .

Find the equation of ellipse satisfying that the vertices at
