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Points P and D are taken on the ellipse ...

Points P and D are taken on the ellipse `(x^(2))/(4)+(y^(2))/(2)=1` . If a , b ,c and d are the lengths of the side of quadrilateral PADB, where A nd B are foci of the ellipse, then maximum value of (abcd) is __________

Text Solution

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`PA+PB=4" "` (focal propert)
DA+DB=4
`rArr a+b+c+d=8`
Now,
`A.M.geG.M`
`rArr (a+b+c+d)/(4)ge(abcd)^(1)/(4)`
`rArr abcdle16`
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