The equation of the circle which cuts all the three circles $4(x-1)^2+4(y-1)^2=1,4(x+1)^2+4(y-1)^2=1$ and $4(x+1)^2+4(y+1)^2=1$ orthogonally is

• A

  $4 x^2+4 y^2=49$
• B

  $4(x-1)^2+4(y+1)^2=1$
• C

  $(x-1)^2+(y+1)^2=4$
• Correct answer
  D

  $4 x^2+4 y^2=7$

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