Let the equation of the pair of lines, y = px and y = qx, can be written as (y – px) (y – qx) = 0. Then the equation of the pair of the angle bisectors of the lines x2 – 4xy – 5y2 = 0 is:
(1) x2 – 3xy + y2 = 0
(2) x2 + 4xy – y2 = 0
(3) x2 + 3xy – y2 = 0
(4) x2 – 3xy – y2 = 0