If $p$ and $q$ are the perpendicular distances from the origin to the straight lines $x \sec \theta - y \operatorname{cosec} \theta = a$ and $x \cos \theta + y \sin \theta = a \cos 2 \theta$,then

  • A
    $4 p^2 + q^2 = a^2$
  • B
    $p^2 + q^2 = a^2$
  • C
    $p^2 + 2 q^2 = a^2$
  • D
    $4 p^2 + q^2 = 2 a^2$

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