Triangle AOB is in the first quadrant of the ellipse `x^2/a^2+y^2/b^2=1` where OA = a and OB = b. Find the area enclosed between the chord AB and the arc AB of the ellipse.

Area of ellipse x^2/a^2 + y^2/b^2 = 1, a > b is :

AOBA is the part of the ellipse 9x^2+y^2=36 in the first quadrant such that OA=2 and OB=6. Find the area between the arc AB and the chord AB.

Find the eccentricity of the ellipse x^(2)/(a^(2))+y^(2)/b^(2)=1 when a=5 and b=3.

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

The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

A parabola is drawn whose focus is one of the foci of the ellipse x^2/a^2 + y^2/b^2 = 1 (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse. Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is

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