<human>: I work for a company that has NDA's with other companies, and they hire us to do a job. My company signs NDA's with these companies, and we are not allowed to mention the names of the companies we work with. For the rest of the story, I will use fake names (for obvious reasons).

I started a job at Science Inc, and in the first week recruiters for History Inc contacted me for a job. I wanted to convince the recruiters from History Inc to hire my employers (Science Inc) for a contract job. I talked it over with my parents, they said it would be a great idea. I do nothing, and a week later, History Inc  hires use to s a job. Completely coincidental. After that, I don't say shit to anyone about anything. I find out later, my parents told my brother that I wanted to bring History Inc and my company together. My brother has a C level position, and is in sales, and speaks hyperboloically to everyone. He knows a VP in History Inc, and mentions to him that I am working with them on a project. At dinner last night, he looks me in the eye and asks if I know Person Z at History Inc. I tell him, "I can't answer that question." But now, I'm worried that my brother over zealous attitutde with my parents poor communication skills may have revealed that I work for History Inc. I have not given any details about my work to anyone. 

Have I violated my NDA?

Provide a brief overview of the text.
<bot>: My brother guessed right about one of my customers, and talked to the company about it. Have I violated my NDA?