Dear Aspirant,
Both of these branches are almost equal in terms of both placements and difficulty. There is some difference in the syllabus in Instrumentation part of the EIE engineering which makes it more balanced for industry however, recruiters do not count this difference and of the branches get the same offers.
However, the only major difference is that EIE is not popular as EE is, that may not affect much. So if you have a choice, go for EIE as the competition is less.
Hope this helps. Thank you.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile