If the circle $x^2+y^2+8 x-4 y+c=0$ touches the circle $x^2+y^2+2 x+4 y-11=0$ externally and cuts the circle $x^2+y^2-6 x+8 y+k=0$ orthogonally, then $\mathrm{k}=$

• Correct answer
  A

  -59
• B

  -19
• C

  19
• D

  59

Hence, the correct answer is option: 'A'.