Recently the term "Bharat" with respect to India was in the news, Consider the following statements :

1. The name "Bharat" is derived from the Sanskrit word "Bharata," which is associated with the legendary emperor Bharata.

2. Bharat is mentioned in the Article 1 of the Indian Constitution.

3. The name "Bharat" is mentioned in Rigveda. 

How many of the above statements are correct?