The Metropolitan Planning Committee in India is indeed constituted under the provisions of the Constitution of India, which makes statement 1 correct. The role of this committee also includes preparing draft development plans for the metropolitan areas, hence statement 2 is also correct.

However, the third statement is not accurate. The Metropolitan Planning Committee does not have the sole responsibility for implementing Government sponsored schemes in a metropolitan area, as there are other local bodies and authorities also involved in this process. Hence, statement 3 is incorrect.

Therefore, the correct answer is option 1, which includes only the first and second statements. The first and second statements correctly define the constitution and role of the Metropolitan Planning Committee.