Double Ordinate of Ellipse

Q.

Find the lengths of the major and minor axes; coordinates of the vertices and the foci; the eccentricity and length of the latus rectum of the ellipse.

$4x^2+9y^2=144.$

Q.

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.

$\frac{x^2}{25}+\frac{y^2}{100}=1$

Q.

Find the lengths of the major and minor axes, coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the ellipse $4x^2+9y^2=144.$

Q.

Find the coordinatesof the foce, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
$\frac{x^2}{16}+\frac{y^2}{9}=1$

Q. If the double ordinate of the ellipse $\frac{x^2}{36}+\frac{y^2}{16}=1$ passes through the $(5,2),$ then the equation of double ordinate is

1. $y=2$
2. $x=5$
3. $x=6$
4. $y=4$

Q. If the latusrectum of the ellipse $x^2{\tan }^2\alpha +y^2{\sec }^2\alpha =1$ is $\frac{1}{2}$ then $\alpha$ =

1. none
2. 
3. 
4.