$\text{ If the quadrilateral formed by the lines }ax+by+c=0\text{ , }{a}^{\mathrm{\prime }}x+b^{\mathrm{\prime }}y+c=0,ax+by+c^{\mathrm{\prime }}=0,a^{\mathrm{\prime }}x+b^{\mathrm{\prime }}y+c^{\mathrm{\prime }}=0\text{ has }$

$\text{ perpendicular diagonals, then }$

• A

  $b^2+c^2=b^{\mathrm{\prime }2}+c^{\mathrm{\prime }2}$

• B

  $c^2+a^2=c^{\mathrm{\prime }2}+a^{\mathrm{\prime }2}$

• C

  $a^2+b^2=a^{\mathrm{\prime }2}+b^{\mathrm{\prime }2}$

• D

  None of these