If the circle $x^2+y^2=a^2$ intersects the hyperbola $xy=c^2$ in four points $(x_i, y_i)$,for $i=1, 2, 3, 4$,then $y_1+y_2+y_3+y_4$ equals

  • A
    $0$
  • B
    $c$
  • C
    $a$
  • D
    $c^4$

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