Authorities will investigate a principal's denial that he banned girls from running at sporting events because he believed it could cause them to lose their virginity.

The Victorian Registration and Qualifications Authority is investigating a former teacher's claims that girls at Al-Taqwa College were discriminated against and prevented from participating at cross country events.

On Thursday Mr Hallak denied the allegations, saying girls at the Islamic school participated in a range of sports including running over a range of distances, basketball, cricket and hockey.

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