Equation of ellipse in its standard equation

Equation of parabola in its standard equation

If the ends of major axis of an ellipse are (5,0) and (-5,0). Find the equation of the ellipse in the standard form if its focus lie on the line 3x-5y-9=0.

Find the equation of the ellipse in the standard form given latus rectum =4 and distance between foci is 4sqrt2

Find the equation of ellipse in the standard form. If it passes through the points(-2,2) and (3,-1).

Find the equation of the ellipse in the standard form such that distance between foci is 8 and distance between directrices is 32.

Find the equation of the ellipse in the standard form given e=1/2 and it passes through (2,1)

Find the equation of the ellipse in the standard from given passes throug the point (2,3), (3,-1)

find the equation of ellipse in the standard form if passes through the points (-2,2) and (3,-1)

Find the equation of ellipse in standard form if,: Co-ordinates of foci are (+-5,0) and vertices are (+-13,0) .

Find the equation of the ellipse in standard form if : eccentricity is 3/8 and distance between its foci is 6.