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Multiple choice

$(x-1)^2+(y-3)^2=9$ and $(x-7)^2+(y+5)^2=25$ are two circles then the area of the hexagon formed by the points of contact of direct common tangents and the two centres is?

  1. $25\sqrt{6}$ sq. units
  2. $50\sqrt{6}$ sq. units
  3. $45\sqrt{6}$ sq. units
  4. $32\sqrt{6}$ sq. units
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