Find the maximum area of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` which touches the line `y=3x+2.`

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

Area of the ellipse x^(2)/9+y^(2)/4=1 is

Find the area of the ellipse (x^(2))/(a^(2))+ (y^(2))/(b^(2))=1 by the method of integration.

Find the eccentricity of the ellipse (x^2)/(9)+(y^2)/(4)=1

Find the foci of the ellipse x^2/25+y^2/16=1

The area enclosed by the ellipse x^2/a^2+y^2/b^2=1 is :

Find the area bounded by the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the ordinates x=0 and x=ae, where b^2=a^2(1-e^2)" and "e lt 1 .

Find the area of the region bounded by the ellipse (x^2)/(4)+(y^2)/(9)=1 .

Find the area of the region bounded by the ellipse (x^2)/(16)+(y^2)/(9)=1 .

If the area of the auxillary 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