Which of the following statements are correct regarding State Legislatures?

A. Notwithstanding anything in part XVII, but subject to the provisions of Article 348, business in the Legislature of a State shall be transacted in the official language or languages of the State or in Hindi or in English.

B. The Speaker of the Legislative Assembly or Chairman of the Legislative Council can permit any member to speak in his mother tongue.

C. Only the Supreme Court is entitled to inquire into the proceeding of the State Legislature.