The orbiter took off from its launch pad in Sriharikota, Andhra Pradesh last November 5. Ten months and 666 million kilometres later, Mangalyaan will now study the Martian atmosphere. It will, in particular, scan the planet's surface for methane, which could indicate life on Mars. After completing its mission, the spacecraft will be manoeuvred away.
Here's a documentary by the Ministry of Information and Broadcasting about the Mars Orbiter Mission.