If $A$ and $B$ are positive acute angles satisfying $3 \cos ^2 A+2 \cos ^2 B=4$ and $\frac{3 \sin A}{\sin B}=\frac{2 \cos B}{\cos A}$, then $A+2 B=$

• A

  $30^{\circ}$
• B

  $45^{\circ}$
• C

  $60^{\circ}$
• Correct answer
  D

  $90^{\circ}$

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