question_answer

AOB is the positive quadrant of the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] in which OA = a, OS = b. The area between the arc AB and the chord AB of the ellipse is

A)  \[\frac{1}{2}ab(\pi +2)\]sq. units               

B)  \[\frac{1}{4}ab(\pi -4)\] sq. units

C)   \[\frac{1}{4}ab(\pi -2)\]sq. units                

D)  None of these