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.

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.

The eccentricity of the ellipse 4x^2 + 9y^2 = 36 is :

Find the area of the region bounded by y=4x^2 ,x=0,y=1,y=4 in the first quadrant.

Area bounded by the ellipse : x^2/16 + y^2/9 = 1 is :

Find the area of the region lying in the first quadrant and bounded by y=4x^(2),x=0,y=1 and y=4

For the hyperbola 4x^2-9y^2=36 , find the Foci.

Consider the family of circles x^2+y^2=r^2, 2 < r < 5 . If in the first quadrant, the common tangnet to a circle of this family and the ellipse 4x^2 +25y^2=100 meets the co-ordinate axes at A and B, then find the equation of the locus of the mid-point of AB.