Hello Megha, ECE is the better branch because the placements for ECE is much better in this branch. Most the graduates from EEE go unplaced because there are not many companies which hire students from EEE branch. EEE is considered to be one of the toughest branches and scoring is not easy. If you are looking for placements, you might want to choose ECE.

dear aspirant,

Both the engineering branches are equally good but it all depends upon the field of interest of an individual. 

Difference in Course and Core Areas:

EEE:Electrical and Electronics Engineering branch deals with Electrical technology and machines, circuit analysis, electronics, electromagnetism, electrical engineering materials, instrumentation, control systems, power engineering and transmission and distribution.

ECE: This branch mainly deals with analog transmission, basic electronics, solid state devices, microprocessors, digital and analog communication, analog integrated circuits, satellite communication, microwave engineering, antennae and wave progression. It also deals with the manufacturing of electronic devices, circuits, and communications equipment.

Hope this helps.

Good luck