The locus of the midpoints of the chords of the circle $x^2 + y^2 = a^2$ which are parallel to $y = 2x$ is:

  • A
    $A$ circle with radius $a$
  • B
    $A$ straight line with slope $-\frac{1}{2}$
  • C
    $A$ circle with center $(0, 0)$
  • D
    $A$ straight line with slope $-2$

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