Canon Ixus 75 dropped and won't start

These models are notorious for dying mysteriously. I have 6 of them in such a condition and must assume it is a defective component that only Canon is aware of as no one on the internet has come up with a solution. Two things you can check. There is a switch that is activated by the closure of the battery door and clearly visible. Make sure the plastic piece in the switch has not been broken off or partially split in two which may prevent it from being activated when closing the door. With the battery installed and the door open use a toothpick to press on the left side (towards the centre of the camera) and press the on button to see if you get a power on condition. The solution then is to jam something inside the switch. Number 2 involves opening up the camera and locating the single fuse that I'm aware of. It looks like a surface mount resistor with a "T" marked on it. Go to the top of the mother board. Locate the internal clock battery, to the right is a connector and beside this is the fuse. Check it for continuity with a meter. If it's blown all you can do is solder a shorting wire across the contacts. If you have the skill and tools to do this make sure the battery is out when you do the repair. Good luck.

Here are some simple things to try first for a camera that won't power on. They won't work for every case, but they're worth a try:
http://camerarepair.blogspot.com/2007/11/simple-fix-for-dead-cameras-that-wont.html