We know that point X is a minmum point,
so thats suggests that the phase difference of the two waves at that point is 180 degrees, which is the same as half wavelength
so path difference=0.5 lamda
path difference = distance S2 - distance S 1 = 0.5 lamda
so ans is C
you need to understand that at ponit X. 1 wave is at its max and 1 is at its min to make a resulting displacement of zero.
that happens at a phase diff of 180 degrees, assuming that the both have same amplitude.
you might have said ans is D, but that is only correct if it is a maxima