The founders of Google originally wanted Apple’s Steve Jobs as their CEO.

At the time, Apple was far superior to Google, but Jobs saw that the young company had a great deal of potential, so he agreed to act as a mentor for its creators, Sergey Brin and Larry Page. He even chose to share some of his advisors with the two Google founders! Jobs even took on Eric Schmidt, the company’s eventual CEO choice, as one of his board members at Apple.

None of these decisions posed much of a problem until the two tech giants later became direct competitors in the various areas of the hardware realm with such devices as the Android phone. Jobs saw these moves as a direct threat to his own company and felt betrayed by his former apprentices, saying “Apple didn’t enter the search business, so why did Google get into the phone business?” He believed that they had stolen some of the features of the iPhone and decided to keep the development of the iPad a secret from Schmidt!
(source)