Justice S P Garg also issued notice to the police on the bail plea of Farooqui and directed it to file its reply by November 30, the next date of hearing.
A trial court had on August 4 sent him to jail for seven years observing that he had taken advantage of the situation when the victim was alone in his house.
The court, which on July 30 had held Farooqui guilty of raping the American woman last year at his house in a drunken state, had also imposed a fine of Rs 50,000 on him.
Farooqui, who was earlier out on bail, was taken into custody immediately after his conviction in the case.
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The police had onJune 19, 2015, lodged the FIR against Farooqui on the woman's complaint after which he was arrested.
On July 29 last year, the police filed a charge sheet against Farooqui alleging he had raped the research scholar from Columbia University at his Sukhdev Vihar house in South Delhi on March 28 last year.
Farooqui had denied the allegations against him, saying he was falsely implicated by the woman.