$\mathrm{P}(6,4)$ is a point on the line $\mathrm{x}-\mathrm{y}-2=0$. If $\mathrm{A}(\alpha, \beta)$ and $\mathrm{B}(\gamma, \delta)$ are two points on this line lying on either side of $P$ at a distance of 4 units from $P$, then $\alpha^2+\beta^2+\gamma^2+\delta^2=$

• Correct answer
  A

  $136$
• B

  $\frac{85}{\sqrt{2}}$
• C

  $23+\frac{5}{\sqrt{2}}$
• D

  $52$

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