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Consider a DeltaOAB formed by the point ...

Consider a `DeltaOAB` formed by the point `O(0,0),A(2,0),B(1,sqrt(3)).P(x,y)` is an arbitrary interior point of triangle moving in such a way that `d(P,OA)+d(P,AB)+d(P,OB)=sqrt(3),` where `d(P,OA),d(P,AB),d(P,OB)` represent the distance of P from the sides OA,AB and OB respectively
If the point P moves in such a way that `d(P,OA)lemin(d(P,OB),d(P,AB)),` then the area of region representing all possible position of point P is equal to

A

`2sqrt(3)`

B

`sqrt(6)`

C

`sqrt(3)`

D

None of these

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The correct Answer is:
A
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