$\mathrm{A}(5,3), \mathrm{B}(3,-2), \mathrm{C}(2,-1)$ are three points. If $\mathrm{P}$ is a variable point…

$\mathrm{A}(5,3), \mathrm{B}(3,-2), \mathrm{C}(2,-1)$ are three points. If $\mathrm{P}$ is a variable point such that the area of the quadrilateral $\mathrm{PABC}$ is 10 sq. units, then the locus of $\mathrm{P}$ is
  1. $16 x^2-24 x y+9 y^2-144 x+108 y-76=0$
  2. $16 x^2-24 x y+9 y^2+144 x-108 y-76=0$
  3. $16 x^2-24 x y+9 y^2-144 x+108 y+76=0$
  4. $16 x^2-24 x y+9 y^2+144 x-108 y+76=0$

Solution

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Asked in: AP EAMCET 2018 (24 Apr Shift 2)

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