The correct option is C kf and kb will increase by the same extent
The equilibrium constant will remain constant
K=kfkb
kf and kb will increase by the same extent because the activation energy increases or decreases by the same extent on the addition of the catalyst. As a result, the equlibrium constant and also
ΔH = Ea(f)−Eb(b)
ΔH of the reaction will remain constant.