The logo of Indian Airlines (now known as Air India) is a graphic wheel, which is inspired by the Sun Temple, Konark. This distinctive wheel is known as the `Konark Chakra` or `The Wheel of the Sun`, which is emblematic of the temple located in Odisha, India.

Let`s take a closer look at the other options:

Option 1, Hampi Temples, and option 2, Mamallapuram Temples, are both incorrect. While these are significant historical sites in India, they aren`t associated with the design of the airline`s logo.

Option 4, the Khajuraho Temple, is also an incorrect option. Although the Khajuraho Temples are known for their intricate sculptures, the logo does not relate to any motifs or symbols from this temple.

In conclusion, the airline chose the ‘Konark Chakra’ from the iconic Sun Temple at Konark, Odisha, as a symbolic representation to portray the ethos of Indian Culture in its brand identity.