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

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

Find the area of the ellipse x^(2)/64 + y^(2)/36 = 1 .

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

If chord of contact of the tangent drawn from the point (a,b) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 touches the circle x^(2)+y^(2)=k^(2), then find the locus of the point (a,b).

Find the area of the region bounded by the latus recta of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the targets to the ellipse drawn at their ends

If a rectangle of maximum area is inscibed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , then the dimensions are

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

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