In my last game I had a moyo (a situation I don't like) and my opponent started invading with a contact play under the star point.

Starting from this position, should b be able to live?

Click Here To Show Diagram Code

[go]$$Bc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . O X X . . |
$$ | . . . . O . . . . 1 . . . O . O X . . |
$$ | . . O . . . . . . O . . . . . O X . . |
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . . . . . . . . . . O . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]

Looks like a common invasion - black should be able to live if white decides to enclose by all means. Although usually white rather looks for profit from attacking while black escapes to the center.