Is it right to look for anti-cancer drugs amongst compounds having antioxidant effect?

Therefore, we believe that use of antioxidants during chemotherapy of cancer could diminish benefits of chemotherapy or radiation to the patient by scavenging free radicals. This is because radiation and most of anticancer drugs work by generating free radicals to destroy rapidly-dividing cancer cells. So the logical advice to patients who being treated by chemotherapy or radiation is to not taking antioxidant supplements. Meanwhile, the advice to researchers who look for anticancer or cytotoxic drugs amongst antioxidants is to answer the following question? By what mechanism, do you expect antioxidants to kill cancer cells?Both authors contributed equally to the paper. Both authors read and approved the final manuscript.