Find the ratio of the greatest to the least focal chord of the ellipse `x^2/a^2+y^2/b^2=1(a>b)`

Area of the greatest rectangle that can be inscribed in the ellipse x^2/a^2+y^2/b^2=1 is

IF the equation of the ellipse is x^2/a^2+y^2/b^2=1 then SP+S'P=

Find the area between the chord AB and the arc AB of the ellipse x^2/a^2+y^2/b^2=1 , where A-=(a,0) and B-=(0,b) .

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

Find the area of ellipse x^2/6+y^2/25=1 .

If the area of the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

The distance of the point theta on the ellipse x^2/a^2+ ( y ^(2))/(b^2)=1 from a focus is

Equations of directrices of the ellipse x^2/49+y^2/24=1 , are: