The area bounded by the ellipse `b^(2)x^(2) + a^(2) y^(2) = a^(2) b^(2)` is

Find the area of the region bounded by the ellipse x^2 / a^2 + y^2 / b^2 = 1

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

Area bounded by the ellipse (x^2)/(4)+(y^2)/(9)=1 is equal to

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

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

The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

Triangles are formed by pairs of tangent dreawn from any point on the ellipse a^(2)x^(2)+b^(2)y6(2)=(a^(2)+b^(2)^(2) to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 and the chord of contact. Show that the orthocentre of each such triangles lies triangle lies on the ellipse.

The area bounded by y = x^(2) , x + y = 2 is

Find the area of the smaller region bounded by the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the line x/a+y/b=1

Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x-2)^(2)+y^(2)=4.