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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 (A) 4 (B) 1 (C) 2 (D) 3

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