The equation of the pair of lines through $(1, -1)$ and perpendicular to the pair of lines $x^2 - xy - 2y^2 = 0$ is :

Question

( A ) $x^2 - xy - 2 y^2 - 5x - y - 2 = 0$
( B ) $2x^2 - xy - y^2 + 5x + y - 2 = 0$
( C ) $2x^2 - xy - y^2 - 5x - y + 2 = 0$
( D ) $2x^2 - xy - y^2 + 5x + y + 2 = 0$