Find the equation of the ellipse in the form `x^2/a^2+y^2/b^2=1(a>b)`, given : ellipse passes through the points (2,3) and (-4,1)

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : it passes through (1,0) and LR is 2/3 .

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : major axis is 16, minor axis is 12.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : major axis is 8, minor axis is 1/2

Find the equation of the ellipse in the form ((x-h)^2)/a^2+((y-k)^2)/b^2=1(a>b) , given : centre (3,4), passing through (-1,0) and major axis is 16.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : one of the foci is (3,0), eccentricity is 3/5 .

Find the equation of the ellipse in the form ((x-h)^2)/a^2+((y-k)^2)/b^2=1(a>b) , given : vertices (2,-2) and (2,-4) and eccentricity is 1/3 and distance between the foci is 4.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : length of the LR is 5/2 and eccentricity is sqrt3/2

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : distance between the foci is 4 and distance between directrices is 20.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : distance between the foci is 4 and distance between the directrices is 24.

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : distance between the foci is 10 and distance between the directrices is 12.