Step 1: Understanding the interference pattern.
For two coherent sources, the interference pattern depends on the phase difference between the waves. If the path difference is zero, the waves will interfere constructively, resulting in maximum intensity. For a path difference of \( \lambda / 2 \), the interference will be destructive, resulting in zero intensity.
Step 2: Conclusion.
Thus, the ratio of the intensities at the points is infinity to one, corresponding to option (D).