Chandrayaan-1 was launched on 22nd October, 2008 in India from :

Concept — An orbital launch happens only at a spaceport: a dedicated launch range with vehicle assembly buildings, launch pads and a cleared downrange corridor along which the spent stages of the rocket can fall safely. In India that corridor lies over the sea, so the country's launch range sits on the coast. A space agency's other centres are specialised — some design and build satellites, some develop payloads and space applications, some track spacecraft after lift-off — and none of them can host a lift-off.

Application — Chandrayaan-1, India's first lunar mission, lifted off on 22 October 2008 aboard the PSLV-C11 vehicle from the Satish Dhawan Space Centre (SDSC SHAR) at Sriharikota, a barrier island on the Andhra Pradesh coast and India's only operational orbital launch complex. So the launch site asked for in the question is Sriharikota.

Cross-check — Map each of the other cities to the ISRO establishment actually located there; none of them is a launch range.

• Bengaluru (Bangalore) — ISRO Headquarters, the U R Rao Satellite Centre where Indian spacecraft are designed and assembled, and ISTRAC, which tracks missions in flight. Spacecraft are built here, not flown from here.

• Chennai — a port city about 80 km down the same coast from Sriharikota; its link to the space programme runs through supplier industry and academic institutions, and it has no launch range.

• Ahmedabad — the Space Applications Centre (SAC) and the Physical Research Laboratory, which develop payloads, instruments and space applications far inland from any launch pad.

Result: Chandrayaan-1 was launched from Sriharikota, on 22 October 2008.