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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1
A point PP moves so that the sum of squares of its distances from the points (1,2)(1,2) and (−2,1)(-2,1) is 14 . Let f(x,y)=0f(x, y)=0 be the locus of PP, which intersects the xx-axis at the points A,BA, B and the yy-axis at the points C,DC, D. Then the area of the quadrilateral ACBDA C B D is equal to
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Correct option: B
3172\frac{3 \sqrt{17}}{2}
Option B (3172\frac{3 \sqrt{17}}{2}) is correct because it represents the area of the quadrilateral formed by the intersection points of the locus with the x and y axes.

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