Semi-axes are 3 and 2

Find the latus rectum and eccentricity of the ellipse whose semi-axes are 5 and 4.

A planet revolves in an elliptical orbit around the sun. The semi-major and minor axes are a and b , then the time period is given by :

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is sqrt((2)/(3)) and the length of semi-latus rectum is 2 unit

Find the equation of the ellipse whose foci are (2, 3) and (-2, 3) and whose length of semi minor axis is sqrt5

Find the equation of the ellipse whose foci are (2, 3) and (-2, 3) and whose semi-minor axis is sqrt(5) .

An ellipse of semi-axes a, b slides between two perpendiuclar lines. Prove that the locus of its foci is (x^2 + y^2) (x^2 y^2 + b^4) = 4a^2 x^2 y^2 , the two lines being taken as the axes of coordinates.

Find the equation of the hyperbola, whose axes are axes of coordinates and eccentricity is sqrt((3)/(2)) and the length of semi-latus rectum is 2.

If the lengths of semi major and semi minor axes of an ellipse are 2 and sqrt(3) and their corresponding equation are y-5=0\ a n d\ x+3=0 then write the equation of the ellipse.

If the lengths of semi major and semi minor axes of an ellipse are 2 and sqrt(3) and their corresponding equation are y-5=0 and x+3=0 then write the equation of the ellipse.

Find the equation of the ellipse , referred to is principal axes , for which semi-minor axis = 3 , and passes through (-2 sqrt(5) ,2)