For \({\mathrm{A}}_{2}+{\mathrm{B}}_{2}⇌2\mathrm{AB}\) \({\mathrm{E}}_{\mathrm{a}}\) for forward and backward reaction a…

For \({\mathrm{A}}_{2}+{\mathrm{B}}_{2}⇌2\mathrm{AB}\)
\({\mathrm{E}}_{\mathrm{a}}\) for forward and backward reaction are \(180\) and \(200\mathrm{kJ}{\mathrm{mol}}^{-1}\) respectively. If catalyst lowers \({\mathrm{E}}_{\mathrm{a}}\) for both reaction by \(100\mathrm{kJ}{\mathrm{mol}}^{-1}\). Which of the following statement is correct?

[JEE Main 2025, 4 Apr (Shift 1)]