$A$ focus of an ellipse having eccentricity $e = \frac{1}{2}$ is at $(0,0)$ and a directrix is the line $x = 4$. Then the equation of one such ellipse is

  • A
    $\frac{9x^2}{64} + \frac{3y^2}{16} = 1$
  • B
    $\frac{(2x+1)^2}{32} + \frac{y^2}{16} = 1$
  • C
    $\frac{(3x+4)^2}{64} + \frac{y^2}{32} = 1$
  • D
    $(3x+4)^2 + 12y^2 = 64$

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