Find the equation of the ellipse in the form `x^2/a^2+y^2/b^2=1(a>b)`, given : major axis is 10 and distance between foci is 8.

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

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^2/a^2+y^2/b^2=1(a>b) , given : distance between the foci is 10 and distance between the directrices 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 2sqrt5 , eccentricity is 1/sqrt2

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 : it passes through (1,0) and LR is 2/3 .

Find the equation of the ellipse in the form ((x-h)^2)/a^2+((y-k)^2)/b^2=1(a>b) , given : centre (2,5), major axis is 10, semi minor axis is 2.

Find the equation of the hyperbola in the form x^2/a^2-y^2/b^2=1 given that : transverse axis is 8 and e=3