An ideal gas is taken from state A (Pressure P, Volume V) to the state B (Pressure P/2, Volume 2V) along a straight line path in PV diagram as shown in the adjacent figure

Select the correct statement(s) among the following
(A) The work done by gas in the process A to B exceeds the work that would be done by it if the system were taken from A to B along the isotherm
(B) In the T-V diagram, the path AB become part of the parabola
(C) In the P-T diagram, the path AB become part of the hyperbola
(D) In going from A to B the temperature T of the gas first increases to a maximum value then decreases.