The Board of Appeals shall have the powers and duties prescribed by Article 16, § 267, of the Town Law of the State of New York and by this chapter, which are more particularly specified as follows:

A. Interpretation. Upon appeal from a decision by an administrative official, to decide any question involving the interpretation of any provision of this chapter, including determination of the exact location of any district boundary if there is uncertainty with respect thereto.

B. Variances. To vary or adopt the strict application of any of the requirements of this chapter in the case of exceptionally irregular, narrow, shallow or steep lots or other exceptional physical conditions, whereby such strict application would result in practical difficulty or unnecessary hardship that would deprive the owner of the reasonable use of the land or building involved, but in no other case. No variance in the strict application of this chapter shall be granted by the Board of Appeals unless it finds:

(1) That there are special circumstances or conditions, fully described in the findings of the Board, applying to such land or buildings and not applying generally to land or buildings in the neighborhood and that said circumstances or conditions are such that strict application of the provisions of this chapter would deprive the applicant of the reasonable use of such land or buildings.
(2) That, for reasons fully set forth in the findings of the Board, the granting of the variance is necessary for the reasonable use of the land or building and that the variance as granted by the Board is the minimum variance that will accomplish this purpose.
(3) That the granting of the variance will be in harmony with the general purpose and intent of this chapter and will not be injurious to the neighborhood or otherwise detrimental to the public welfare.

C. In granting any variance, the Board of Appeals shall prescribe any conditions that it deems to be necessary or desirable.