The angle between the tangents drawn from a point $(-3,2)$ to the ellipse $4 x^2+9 y^2-36=0$ is

• A

  $45^{\circ}$
• B

  $\operatorname{Tan}^{-1}\left(\frac{2}{3}\right)$
• C

  $\operatorname{Tan}^{-1}\left(\frac{3}{2}\right)$
• Correct answer
  D

  $90^{\circ}$

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