Screen won't come on when iMac powers up
This started as an intermittent problem a couple of weeks ago that could be fixed by switching power off at the mains and then re-starting the computer. Then yesterday when that didn't work I re-set the PRAM and that did the trick. Today, nothing will remedy the problem. The computer powers up, chimes happily, then the white lamp at bottom right glows steadily while the hard disk does the usual churning away. The lamp stays on and the screen does nothing.
The affected machine is an Intel iMac, Core Duo, with Snow Leopard. It used to be our main machine but for the last two months has been sitting on top of a Clavinova running little more than Garageband and a simple USB MIDI interface.
The unit had a replacement motherboard about three years ago when it suddenly died and it had a replacement screen about a year ago when it developed the well-known vertical lines issue.
I can access the computer via Screen Sharing from our new iMac. It seems to be working normally although to be honest when I look in the System Profiler I'm not altogether certain what I'm looking for as regards diagnostics.
Does anyone have any ideas what I can try to get this fixed, short of taking it in for repair (which, unless it's a trivial repair, I can't afford to do as I can't justify the cost to keep two iMacs running in the house)?
Intel iMac, Mac OS X (10.6.8), Core Duo