If the lines represented by `x ^(2) - 2hxy - y ^(2) =0 ` are rotated about (0,0) through an angle `alpha` one in clockwise direaction and the other in the counter clockwise direction, then the combined equation of the bisectors of the angle between the lines thus obtained is

Options

A. `x ^(2) - y ^(2) + hxy =0`
B. `x ^(2) -2 hx y+ y ^(2) =0`
C. `hx ^(2) - hy ^(2) + 2 xy =0`
D. `hx ^(2) + hy ^(2) - xy =0`

Answer

C