Diffraction Patterns

1. The problem statement, all variables and given/known data

Is it necessary that a single slit diffraction occur with the two source having the distance of [itex]\frac{a}{2}[/itex]?Are there any diffractions occur when the point source having the distance of [itex]\frac{a}{3}[/itex],[itex]\frac{a}{4}[/itex] and so on?
And I would like to know whether are there only destructive interference occur?

2. Relevant equations

3. The attempt at a solution

Attached Images
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