17, AOBA is the part of the ellipse 9x2 + y2 = 36 in the first
quadrant such that OA = 2 and OB = 6 Find the area between the arc AB and the
chord AB Solution Given equation of the ellipse 9x2 + y2 = 36 can be expressed as 
2
2
1
4
36
x
+y
=  or
2
2
2
2
1
2
6
x
+y
= and hence, its shape is as given in Fig 8 17