Dell 3537 won't start! Buzzing sound near charging port when adapter connected

My 2 year old Dell 3537 is not starting at all.No lights can be seen neither the fans start as soon as I hit the power button. It was working fine till last night. this morning I connected it to charger (without starting it) (charging light was on on laptop) and went to sleep. When I woke up,the light was off and it refused to start. I have been trying since morning but no success. I have tried that static charge method too.

also as soon as I connect the AC adapter,a buzzing sound near the charging port on laptop can be heard. it was never there before. The sound stops as soon as I switch off the charger.