Write the equation of each hyperbola satisfying the following conditions:
a. Centre C(4, –2); focus F(7, –2); vertex V(6, –2)
b. Vertices at V(0, –4), V'(0, 4); foci at F(0, 5), F'(0, –5)
c. Vertices at V(–2, 3), V'(6, 3); one focus at F(–4, 3)
d. The transverse axis coincides with the x-axis, centre at C(2, 0); lengths of transverse and conjugate axes equal to 8 and 6, respectively.
e. The length of the transverse axis is equal to 8; the end points of the conjugate axis are A(5, –5) and B(5, 3).