The points of intersection of the perpendicular tangents drawn to the ellipse $4x^2 + 9y^2 = 36$ lie on the curve:

  • A
    $x^2 + y^2 = 13$
  • B
    $x^2 - y^2 = 5$
  • C
    $x + y = 5$
  • D
    $\frac{x^2}{9} + \frac{y^2}{4} = 1$

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