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Q.

The area of an ellipse is 8 π sq. units  and distance  between the foci is 43 then e =

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a

sin 45°

b

sin 75°

c

sin 60°

d

sin 30°

answer is C.

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Detailed Solution

Given taht πab=8π    ab=8 distance between  foci=2ae=43 ae=23 Now ab=8  a2b2=64 a2 a2(1-e2)=64 a2(a2-12)=64 a4-12a2-64=0 (a2-16) (a2+4)=0 a2=16  a=4 ae=23  e=32

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