If the equation of the tangent of the hyperbola $5 x^2-9 y^2-20 x-18 y-34=0$ which makes an angle $45^{\circ}$ with the positive X -axis in positive direction is $x+b y+c=0$ then $b^2+c^2=$

• A

  2 or 13
• B

  5 or 26
• Correct answer
  C

  2 or 26
• D

  26 or 28

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