Question

AOB is the positive quadrant of ellipse $\frac { x ^ { 2 } } { a ^ { 2 } }$ + $\frac { y ^ { 2 } } { b ^ { 2 } }$ = 1 ; where OA = a, OB = b. Area between arc AB and chord AB of ellipse is

• A. pab
• B. (p– 2) ab
• C. $\frac { ( \pi - 2 ) } { 2 }$ abC
• D. $\frac { ( \pi - 2 ) } { 4 }$ab

Answer 1

Answer: (D)

$\frac { ( \pi - 2 ) } { 4 }$ab

Answer 2

Area = $\frac { \pi } { 4 }$ ab – $\frac { 1 } { 2 }$ ab