A circle C touches X -axis and makes an intercept of length 2 units on Y -axis. If the centre of this circle lies on the line $y=x+1$ then a circle passing through the centre of the circle C is

• A

  $x^2+y^2-2 x-4 y+1=0$
• Correct answer
  B

  $x^2+y^2-26 x-20 y+19=0$
• C

  $x^2+y^2-20 x-26 y+19=0$
• D

  $x^2+y^2+2 x-4 y+1=0$

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