The locus of the point of intersection of the normals to the parabola $x^2=8 y$, which are at right angles to each other, is

• A

  $y^2=2 x-5$
• B

  $y^2=x-12$
• C

  $x^2=y-10$
• Correct answer
  D

  $x^2=2 y-12$

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