The area between the ellipse  and its director circle is ______ .

Find the area of the region bounded by the line x-2y-12=0 and y-axis , y=-1 and y=-3 .

The area enclosed by the ellipse  is ______ .

The area between the ellipse  and its auxillary circle is _________ .

Find the area of the curve y² = (x-5)² (x-6) between x=5 and x=6 ?

The area bounded by the curve y(1+x²)=1 and the lines x=0 , x=1 and y=0 is ______.

Find the area bounded by the ellipse and the ordinates x=0 and x=ae,where b² =a² (1-e² )
and e<1.

Find the area of the region bounded by y=2x+4 , y=1 and y=3 and y-axis?

The area bounded by the parabola y² = x and its latus rectum is _________ .

Find the area of region bounded by the triangle whose vertices are (1,0) (2,2) and (3,1).