If the vectors $\bar{a}, \bar{b}, \bar{c}$ satisfy the condition $|\bar{a}-\bar{c}|=|\bar{b}-\bar{c}|$, then $(\bar{b}-\bar{a}) \cdot\left(\bar{c}-\frac{\bar{a}+\bar{b}}{2}\right)=$

• Correct answer
  A

  $0$
• B

  $-1$
• C

  $1$
• D

  $2$

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