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Find the area bounded by the ellipse (x...

Find the area bounded by the ellipse ` (x ^(2))/( a ^(2)) + ( y ^(2))/( b ^(2)) =1` and the ordinates `x =` ae and `x =0,` where `b ^(2) =a ^(2) (1-e ^(2)) and e lt 1.`

Text Solution

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The correct Answer is:
`=ab [e sqrt (1- e ^(2)) + sin ^(-1)e ]` sq. unit
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