The correct answer is (a). The Andhra Pradesh Reorganisation Act, 2014 was passed by the Parliament of India on 18 February 2014 and approved and signed by the President on 20 March 2014. The Act bifurcated the state of Andhra Pradesh into two new states, Andhra Pradesh and Telangana. The new state of Telangana came into existence on 2 June 2014.
(b) is incorrect because the Andhra Pradesh Reorganisation Bill was not approved and signed by the President in February 2014.
(c) is incorrect because the Andhra Pradesh Reorganisation Bill was not approved and signed by the President in January 2014.
(d) is incorrect because the Andhra Pradesh Reorganisation Bill was not approved and signed by the President in April 2014.