Find the equation of the ellipse in the following case: the ellipse passes through (1,4) and (-6,1).

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

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

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 with major axis on the x-axis and passes through the points (4,3) and (6,2)

Find the equation of the ellipse in the following case: focus is (0,1) directrix is x+y=0 and e=(1)/(2)

Find the equation of the ellipse in the following case: focus is (1,2) ,directrix is 3x+4y-5=0 and e=(1)/(2)

Find the equation of the ellipse in the following case: eccentricity e=1/2 and major axis =12

Find the equation of the ellipse in the following case: eccentricity e=(1)/(2) and major axis =12

Find the equation of the ellipse in the following case: eccentricity e=1/2 and semi major axis =4 .

(ii)Find the equation of ellipse with the following conditions:(a)Foci at (+-3,0) and passing through (4,1).