Nag,
You can file divorce either from the place where the marriage has been solomized, or at the place where you have co-hibited last. If Delhi is one of the place and you are staying at Delhi, then file the case from Delhi. The disadvantage is that (1) the girl if stays in AP, can transfer the case to AP, (2) The time taken in Delhi is around 5 years, while in other places it will be less. If AP is one of the place, then you can also opt to file from that place if your wife is staying at that place.
