Let $\bar{a}$ and $\bar{b}$ be two vectors such that $|\bar{a}|=|\bar{b}|$ and $|\bar{a}+2 \bar{b}|=|2 \bar{a}-\bar{b}|$. If $\bar{c}$ is a vector parallel to $\bar{a}$ then the angle between $\bar{b}$ and $\bar{c}$ is

• A

  $0^{\circ}$
• B

  $30^{\circ}$
• C

  $60^{\circ}$
• Correct answer
  D

  $90^{\circ}$

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