Given $r_1, r_2 > 0$ and $C_1, C_2$ are the centres of two circles having only two common tangents. If $C_1 C_2 = r_1 + r_2$,which of the following is correct?

  • A
    $r_1, r_2$ are the radii of the two circles
  • B
    The common chord divides the line joining the centres in the ratio $r_1 : r_2$
  • C
    $r_1, r_2$ are always the distance of the centres from the common tangent of the two circles
  • D
    The external centre of similitude divides $C_1 C_2$ in the ratio $r_1 : r_2$

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