A bench headed by Chief Justice G Rohini dismissed the appeal of Vikas, who had sought further three weeks after he was granted one week parole by a single judge bench of the high court.
"In the facts and circumstances of the case we do not find any error requiring interference in the discretion exercised by the single judge in refusing the three months parole sought and in granting only one week of custody parole," it said.
"The settled principle of law is that in exercise of letters patent jurisdiction,the division bench would interfere with the discretion exercised by the single judge only if it is perverse and not to substitute its own view over that of the single judge," it said.
The court also said the single judge had given well founded reasons for granting one week's custody parole to Vikas and it was free from "perversity or illegality".
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The bench had fixed today for passing the order after the counsel for Vikas and Delhi Police concluded their arguments.
The counsel for Delhi Police, had vehemently opposed Vikas' plea for parole extension, saying the court has granted enough time to the convict to prepare his appeal.
A single-judge bench had on April 10 refused to extend the parole of Vikas and asked him to "surrender immediately".
The convict was granted seven days parole last month, after he said he wanted to challenge in the Supreme Court, the high court verdict in the murder case and wanted to prepare for it.