The equation of the pair of lines is given by a second degree homogenous equation. If one of them is perpendicular to the line $x+2 y+7=0$ and another line is parallel to the line $3 x+4 y+5=0$, then the equation of that pair of lines is

• A

  $6 x^2-5 x y+4 y^2=0$
• B

  $6 x^2+5 x y+4 y^2=0$
• C

  $6 x^2-5 x y-4 y^2=0$
• Correct answer
  D

  $6 x^2+5 x y-4 y^2=0$

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