The following Regulations shall govern the granting or variances:
(a) Where the Planning Commission finds that extraordinary and unnecessary hardship may result from strict compliance with these Regulations, due to exceptional topographic or other physical conditions, it may vary the Regulations so as to relieve such hardships, provided such relief may be granted without detriment to the public and without impairing the intent and purpose of these Regulations or the desirable development of the neighborhood or community. Such variations shall not have the effect of nullifying the intent and purpose of these Regulations, the Comprehensive Development Plan, or the Zoning Code.
(b) In granting variances or modifications, the Planning Commission may require such conditions as will, in its judgment, secure substantially the objective of the standards or requirements so varied or modified.