We name each compound by first fixing the metal oxidation state from the overall charge balance, then listing ligands alphabetically.
Compound (i) [PtCl2(en)2](NO3)2:
Step 1: Two NO3- counter ions mean the complex ion bears a +2 charge.
Step 2: Chloride contributes -1 each and en is neutral, so Pt must be +4 to leave a net +2. Platinum is therefore platinum(IV).
Step 3: Because en already contains the prefix di- inside its name, we use bis(ethane-1,2-diamine); chlorido comes first alphabetically. Full name: dichloridobis(ethane-1,2-diamine)platinum(IV) nitrate.
Compound (ii) [Cr(NH3)6][Co(CN)6]:
Step 1: Both ammine and cyanido counts are six. For neutrality the cationic Cr complex is +3 and the anionic Co complex is -3.
Step 2: Chromium is chromium(III); cobalt sits in an anionic sphere so it becomes cobaltate(III). Writing cation then anion: hexaamminechromium(III) hexacyanidocobaltate(III).