If a focal chord of the parabola $y^2=4 x$ makes an angle $45^{\circ}$ with positive $\mathrm{X}$-axis, then the slopes of the normals drawn at the ends of the focal chord will satisfy the equation

• Correct answer
  A

  $x^2-2 x-1=0$
• B

  $x^2+2 x-1=0$
• C

  $x^2-1=0$
• D

  $x^2+2 x-2=0$

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