The correct answer is option 1: A-2, B-4, C-3, D-1. This option correctly matches each temple to its corresponding state.

A. The Vidyashankara Temple is a famous and ancient Hindu temple located in Shringeri in the Indian state of Karnataka.

B. The Rajarani Temple, known for its remarkable architectural features, is situated in Bhubaneswar, the capital city of Orissa (Odisha).

C. Kandariya Mahadeo Temple, one of the largest and artistically important Hindu temples, is located in Khajuraho of Madhya Pradesh.

D. Bhimesvara Temple is located in Andhra Pradesh. Its architecture dates back to the Eastern Chalukya period.

Option 2, 3, and 4 wrongly associate some of the temples with the states. Therefore, they are incorrect.