Tirumala Brahmotsavams is a grand festival celebrated at the famous temple of:

Lord Venkateswara (Tirupati)
Lord Shiva (Srisailam)
Goddess Kanaka Durga (Vijayawada)
Lord Narasimha Swamy (Simhachalam)

The correct answer is: a) Lord Venkateswara (Tirupati).

Tirumala Brahmotsavams is a grand festival celebrated at the famous temple of Lord Venkateswara in Tirupati, Andhra Pradesh, India. It is one of the most important Hindu festivals in India and is celebrated over a period of nine days. The festival begins on the first day of the Tamil month of Chittirai (usually in April) and ends on the ninth day of the month.

The festival is a grand affair with a number of religious and cultural events. The main event of the festival is the procession of the deity, Lord Venkateswara, through the streets of Tirupati. The procession is accompanied by a number of other deities and is a sight to behold.

The festival is also a time for people to come together and celebrate their faith. It is a time for people to pray to Lord Venkateswara and seek his blessings. The festival is also a time for people to enjoy the cultural events that are held during the festival.

The other options are incorrect because they are not the temples where Tirumala Brahmotsavams is celebrated.

Option b) is incorrect because Lord Shiva is the presiding deity of the temple at Srisailam.

Option c) is incorrect because Goddess Kanaka Durga is the presiding deity of the temple at Vijayawada.

Option d) is incorrect because Lord Narasimha Swamy is the presiding deity of the temple at Simhachalam.