Let $\mathrm{A}(5,4)$ and $\mathrm{B}(5,-4)$ be two points. If P is a point in the coordinate plane such that $\underline{\mathrm{APB}}=\frac{\pi}{4}$, then the point P lies on the curve

• A

  $x^2+y^2+10 x-17=0$
• Correct answer
  B

  $x^2+y^2-2 x-31=0$
• C

  $x^2+y^2-10 x+17=0$
• D

  $x^2+y^2+2 x-31=0$

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