This monument is called Bibi Ka Maqbara or locally Mini Tajmahal. I haven't yet had a chance to visit Taj Mahal yet ~~ but am told this is a true replica(though less grander) of Taj Mahal...
"Bibi ka Maqbara" was started by Aurangazeb in honor of his first wife, Dilras Banu Begum and was completed by his son. Co-incidentally, it was designed by Ata-ullah, son of Ustad Ahmad Lahauri, the architect of the Taj Mahal.
Couple of Kms away from this place is Bhadra Maruti Temple - A temple that has a strong sufi influence The folk singers who pepper this temple courtyard are a pleasure to listen to - I have posted about it in detail on Cory's blog few weeks ago(Do listen in to the video there)...

Both thee places can be clubbed up along wit Ajanta - Ellora Caves
Linking this to 2014 AtoZ Challenge - D is for Dilras Banu Begum, the queen whose mausoleum is Bibi Ka Maqbara