$\mathrm{A}(3,4)$ and $\mathrm{B}(5,-2)$ are two points and P is a point such that $\mathrm{PA}=\mathrm{PB}$. If the area of triangle PAB is 10 square unit, what are the coordinates of P ?

• A

  $(1,0)$ only
• B

  $(7,2)$ only
• Correct answer
  C

  $(1,0)$ or $(7,2)$
• D

  Neither $(1,0)$ nor $(7,2)$

Hence, the correct answer is option: 'C'.