Tactics puzzle 2:- Mate in two

[Event "?"] [Site "?"] [Date "2013.06.08"] [Round "?"] [White "Tactics "] [Black "Mate in two"] [Result "*"] [SetUp "1"] [FEN "rq1r1b1k/2R3p1/5N1p/5p1Q/8/8/5PP1/6K1 w - - 0 1"] [PlyCount "3"] 1. Qxh6+ gxh6 2. Rh7# * [Event "?"] [Site "?"] [Date "2013.06.08"] [Round "?"] [White "Tactics "] [Black "Mate in two "] [Result "*"] [SetUp "1"] [FEN "6k1/1p1nr2p/4N1p1/4Q3/8/6P1/rq5P/5RK1 w - - 0 0"] [PlyCount "3"] 1. Qb8+ {[%csl Rf7,Rg7][%cal Re6g7,Rf1f7]} Nxb8 (1... Re8 2. Qxe8+ Nf8 3. Qxf8# ) 2. Rf8# * [Event "?"] [Site "?"] [Date "2013.06.08"] [Round "?"] [White "Tactics "] [Black "Mate in two "] [Result "*"] [SetUp "1"] [FEN "7B/8/8/8/8/N7/pp1K4/k7 w - - 0 1"] [PlyCount "5"] 1. Kc3 (1. Nb5 {Is the Second best move here but it mates in 4} Kb1 2. Nc3+ Ka1 3. Kc2 b1=R 4. Nxb1#) 1... b1=Q 2. Nc2+ Qxc2+ 3. Kxc2# *