Both are known rocket propellants. Both are known to ignite by contact with the proper partner, but not necessarily fast enough (few milliseconds) together.
They aren't used together in any rocket I know - this would cumulate distinct sources of danger.
Rocket designers try hard to eradicate both, because they're so dangerous. Liquid oxygen is more efficient, less dangerous, easier to handle than peroxide. Kerosene is safe and about as good as hydrazine.