Tytler, who did not appear before the court personally, filed an application through his lawyer stating that the CBI plea was a "gross misuse of law" and it was filed with "malafide intention".
Arms dealer Abhishek Verma, who was also issued notice by the court on the CBI plea, appeared before the court and said he stands by his statement given to the probe agency earlier and was ready to join investigation.
He also sought a week's time to file his reply on the plea.
Additional Chief Metropolitan Magistrate Shivali Sharma granted time to Verma to file his reply and listed the matter for February 23 for hearing arguments on CBI's application.
Senior advocate H S Phoolka, who represented the riot victims, said Tytler had earlier given a statement to the media that he was ready to undergo lie detection test.
The case pertains to death of three Sikhs in the aftermath of the riots that broke out after the assassination of the then Prime Minister Indira Gandhi.
Tytler has been given a clean chit by CBI thrice in the case but the probe agency has been directed by the court to further investigate the matter.
Verma has made several statements to CBI against the senior Congress leader that he allegedly pressurised witnesses in the case.
CBI in its plea has said, "For the purpose of further
It has cited the court's December 4, 2015 order in which it was mentioned that lie detection test may be conducted, if required.
"The presence of these two persons namely, Abhishek Verma and Jadgish Tytler is necessary before this court to accord their consent about the polygraph test (lie detection test)," the plea while seeking the court's direction to Tytler and Verma to appear before it.
The court had earlier held that Verma in his statement to CBI disclosed an "active role" played by Tytler in extending a "helping hand" to a witness against him.
The case pertains to riots at Gurudwara Pulbangash in north Delhi where three people were killed on November 1, 1984, a day after the assassination of Indira Gandhi.
The court had in December 2015 directed CBI to further investigate the matter and had said it would monitor the probe every two months so that no aspect of the matter is left uninvestigated.
(Reopens LDG 22)
While opposing CBI's plea for lie detection test, Tytler's counsel submitted that the Congress leader has appeared before the CBI twice and has also recorded his statement to the investigating officer.
He said there was no reason mentioned in CBI's plea for seeking permission to conduct the test and it was done to harass Tytler.
The court, however, said it cannot force the probe agency to disclose their line of investigation and even it cannot force Tytler and Verma to undego the test and they could say no, if they do not want it.
"They (CBI) might have found some contradiction in your statement that is why they are asking for it," the court said adding that it was up to them to give consent or deny it.
Verma also told the court that he has filed complaints with the CBI and Delhi Police that since the time he has made statement to CBI, he and his family was facing threat and sought protection.
The court asked the CBI to file a reply on action taken by it on Verma's complaint.
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