Amidst protest from the students, The GB had last week decided to go ahead with the proposal to seek autonomy for the institution.
A teacher, who is also a member of the staff association said, said the GB meeting where the decision to seek autonomy was taken was called in an "undemocratic manner".
"The decision was taken despite dissent of four members. The staff association of the college has decided that teachers will resign from the administrative positions they are holding on non-remunerative basis," he said.
Principal John Varghese claimed the decision will not affect the students and teachers as the minority status already gives autonomy to the college.
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The students, however, staged a protest outside his office demanding "proper consultations" with various stakeholders.
The principal did not comment on the teachers' threat to resign.
With the Centre announcing provisions for more autonomy for educational institutions across the country in the annual budget, the Delhi University had earlier this month formed a committee to look into the demand of autonomy or university status from its colleges.
Unless the colleges get university status with degree- awarding powers, granting them more autonomy will not necessarily mean that they will not be part of the university.
Besides imparting quality education, maintaining the student-faculty ratio and required infrastructure, the colleges are also required to gain 'A' grade in NAAC accreditation three consecutive times, in order to be eligible for autonomous status.