The line $\frac{x}{3}+\frac{y}{2}=1$ and a pair of lines both passing through origin forms an isosceles triangle. If this pair of lines are perpendicular, then the equation of the pair of straight lines is

• A

  $5\left(x^2-y^2\right)+24xy=0$
• Correct answer
  B

  $5\left(x^2-y^2\right)-24xy=0$
• C

  $5\left(x^2-y^2\right)+12xy=0$
• D

  $5\left(x^2-y^2\right)-12xy=0$

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