Hi,
Yes, you can get admission in class 11th after clearing the supplementary examination for class 10th. You must have cleared class 10th to get admission in next class and thus you can get admission in class 11th. You must choose your stream carefully though and prefer to choose the one which is your strongest subject and the one in which you are interested.
I hope this helped you.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile