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JEE Math Practice Question

A point $$P$$ moves so that the sum of squares of its distances from the points $$(1,2)$$ and $$(-2,1)$$ is 14. Let $$f(x, y)=0$$ be the locus of $$\mathrm{P}$$, which intersects the $$x$$-axis at the points $$\mathrm{A}$$, $$\mathrm{B}$$ and the $$y$$-axis at the points C, D. Then the area of the quadrilateral ACBD is equal to :

  1. A.$${9 \over 2}$$
  2. B.$${{3\sqrt {17} } \over 2}$$
  3. C.$${{3\sqrt {17} } \over 4}$$
  4. D.9

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