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A straight line touches the circle $x^2 +y^2=2a^2$ and also the parabola $y^2=8ax$. Then the equation of the straight line is

  1. $y=\pm x$
  2. $y=\pm (x+a)$
  3. $y=\pm (x+2a)$
  4. $y=\pm (x-21)$
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