Answers:
Wireless it wireless
Adsl is broadband
An adsl splash can be made wireless only just resembling a cable stripe (with a wireless router). Whether you hold an adsl chain or a cable vein depends on where on earth you live. But both of these can be made wireless near a router.
Craig500 is right. Wireless can be any ADSL or cable. You can buy wireless routers for both.
no wireless is 802.11 wireless. ADSL is a loyal digital subscriber procession column, 2 different things although you can use a wireless nouns to connect to a ADSL router going over an ADSL circuit.