If the intercepts made by a variable circle on the X -axis and Y -axis are 8 and 6 units respectively, then the locus of the centre of the circle is

• A

  $x^2-y^2+28=0$
• B

  $y^2-x^2-7=0$
• C

  $x^2-y^2-28=0$
• Correct answer
  D

  $x^2-y^2-7=0$

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