I believe there are different technologies available including GSM (mobile phone) for Redcare and other alarm monitoring systems.
The "traditional" monitored Redcare uses a constant signal on the line, conceptually similar to broadband but a different non-audible frequency.
To install alongside broadband the alarm installer will fit a suitable device, a sort of "filter", usually on the BT side of the master socket.
Your broadband filtering will be as normal.
See:
http://www.redcare.bt.com/Resources/Broadband_Compatibility.html Quite how, or if, that works with FTTC I've no idea, but "normal" broadband is catered for, ADSL1 or ADSL2+.