Why was I logged out of Kite on my laptop when I logged into the Kite mobile app?
You will be able to simultaneously maintain one login session on Kite mobile and another one on Kite web. However, due to the exchange guidelines on trading platforms, you cannot maintain multiple login sessions on Kite (i.e. more than one Kite app and one Kite web session).
If you log in to a second device (either for Kite web or mobile) when there is an existing session, your previously active login will be cleared and you will be logged out.