The coordinates of the foci of an ellipse are `(0,pm 4 ) ` and the equations of its directrices are ` y = pm 9 ` . Find the length of the latus rectum of the ellipse

The foci of an ellipse are (0,pm4) and the equations for the directtices are y=pm9. The equation for the ellipse is

Foci of an ellipse are (pm 5, 0) and one of its directrices is 5x = 36 . Then its equation is

If the eccentricity of an ellipse is (4)/(9) and the distance between its foci is 8 units, then find the length of the latus rectum of the ellipse.

If the eccentricity of an ellipse is (4)/(9) and the distance between its foci is 8 units, then find the length of the latus rectum of the ellipse.

Find the ellipse if its foci are (pm2, 0) and the length of the latus rectum is 10/3 .

Find the eccentricity, the semi-major axis, the semi-minor axis, the coordinates of the foci, the equations of the directrices and the length of the latus rectum of the ellipse 3x^(2)+4y^(2)=12 .

Find the coordinates of the vertices and the foci and the length of the latus rectum of the ellipse 9x^(2)+25y^(2)=225 .

Find the eccentricity, the coordinates of the foci, and the length of the latus rectum of the ellipse 2x^(2)+3y^(2)=1 .

The foci of an ellipse is (0,pm 5) and the major axis is 20. The equation of ellipse is

Find the equation of the hyperbola with foci at (pm7, 0) and length of the latus rectum as 9.6 units.