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Active-sterile neutrino mixing is known to affect the neutrino oscillationprobabilities at both short as well as long-baselines. In particular,constraints on active-sterile neutrino oscillation parameters can be obtainedfrom long-baseline experiments such as T2HK and DUNE. We present here existenceof fake solution in the appearance channel for the 3+1 scenario atlong-baseline experiments. We show that the appearance probability is same forvalues of $\Delta m_{41}^2$ for which the fast oscillations are averaged outand for $\Delta m_{41}^2=(1/2)\Delta m_{31}^2$. The fake solution does notappear for the disappearance channel.

Exploring fake solutions in the sterile neutrino sector at long-baseline experiments