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The straight line (x)/(4)+(y)/(3)=1 inte...

The straight line `(x)/(4)+(y)/(3)=1` intersects the ellipse `(x^(2))/(16)+(y^(2))/(9)=1` at two points A and B there is a point P on this ellipse such that the area of `Delta PAB` is equal to `6(sqrt(2)-1)` .Then the number of such point (P) is/are

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