The major axis of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is equal to the latus rectum of the parabola $y^2=4 b x$. The eccentricity of the ellipse is

• A

  $\frac{3}{4}$
• Correct answer
  B

  $\frac{\sqrt{3}}{2}$
• C

  $\frac{1}{2}$
• D

  $\frac{1}{\sqrt{2}}$

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