Find the surface which intersects the surfaces of the system z(x y) = c(3z 1) (c being a constant) orthogonally and which passes through the circle x² / (y²) = 1, z = 1.
a) z = 3x - 1
b) z = -3x + 1
c) z = 3x + 1
d) z = -3x - 1