For custom object records to appear in search results associated tab only needs to exist; the tab does not have to be visible to users.
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A. B.A.
The answer is True.
When a custom object is created in Salesforce, a tab is automatically generated for it. This tab allows users to access the records associated with the custom object. By default, the tab is not added to the user's tab set, which means that it won't be visible to users in the Salesforce interface. However, the tab is still associated with the custom object and can be used for search.
When a user performs a search in Salesforce, the search results will include records associated with all objects, including custom objects. If the custom object has a tab associated with it, then its records will be included in the search results, regardless of whether or not the tab is visible to users.
In summary, if a custom object has a tab associated with it, its records will appear in search results, even if the tab is not visible to users. Therefore, the statement is true.