and welcome to this site! :-)
Investors generally want to see that entrepreneurs are 110% committed to their business. When you pitch investors you must have one and only one pitch. So what you need to do is to research your ideas' potential thoroughly, pick one, and kill the other.
That said, Paul Graham of Y Combinator recently said that he mostly invests in the team, not the idea. So maybe Y Combinator would accept multiple ideas -- but this would be very unusual indeed. I wouldn't count on it.
Don't confuse focusing on just one idea with not learning. Of course you're supposed to change your planning when important new facts emerge. The Lean Startup Methodology is especially adept at this, and uses the term "pivot" about changing but not abandoning a product strategy.
As a side note, these days you are very unlikely to get funding on an idea alone -- you need a validated market demand, and preferable a prototype implementation too. And even with that, most people who seek venture capital or business angel capital do not get it.
Jason Cohen, one of this sites hosts, recently began a good series of articles about the basics of pitching for capital. Read it at Jason's blog, from the article "5 Lessons from 150 startup pitches" and forward. Also, I would assume you know and read Venture Hacks.