Equation of Ellipse

Let the equation of an ellipse be (x^2)/(144)+(y^2)/(25)=1 ,Then , the radius of the circle with centre (0,sqrt(2)) and passing through the foci of the ellipse is

Find the equation of the ellipse

the foci of an ellipse are (0+-6) and the equation of the directrces are y=+- 9. the equation of the ellipse is

The differential equation of all ellipses centred at the origin is

The length of the latusrectum of an ellipse is (18)/(5) and eccentricity is (4)/(5) , then equation of the ellipse is . .

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length,then find the equation of the ellipse.The axes of ellipse are the coordinate axes.

Find the equation of the ellipse in the following case: Foci (+-3,0),a=4