In the given shear stress versus strain rate graph:
- Pseudo-plastic fluids (X) show a decrease in viscosity with increasing shear rate.
- Newtonian fluids (Y) exhibit a constant viscosity, meaning the shear stress is directly proportional to the strain rate.
- Dilatant and thixotropic fluids exhibit changes in viscosity with different shear rates, but not in the way described by this graph.
Conclusion: Option (a) correctly identifies the fluid properties for X and Y.