I. To assess the efficacy and identify (in)active arm(s) of the combination of cediranib maleate (cediranib) and olaparib, cediranib alone, olaparib alone, and physician's choice standard of care chemotherapy, as measured by progression-free survival (PFS) in the setting of recurrent platinum-resistant or-refractory ovarian, primary peritoneal or fallopian tube cancer. (Phase II) II. To assess the efficacy of the combination of cediranib and olaparib, and active monotherapy experimental arm(s) from Randomized Phase II, as measured by overall survival (OS) and PFS, as compared to physician's choice standard of care chemotherapy in women with recurrent platinum-resistant or-refractory ovarian, primary peritoneal or fallopian tube cancer. (Phase III)