The court listed the matter for further hearing on October 17.
The petition, filed through advocate Ashok Agarwal, said three children -- two girls and a boy -- were registered for admission in class 9 on July 5 and they were allowed to attend classes from July 8 to September 14 when they were "unceremoniously" removed from the school.
It said that the children had already bought books, uniforms and other study material.
The girls had school leaving certificates indicating they had passed class 8, while the boy had an enrolment card for appearing in class 10 exams.
All the three were removed from the school, citing the 2016 circular, the plea said.
The petition has contended that the action or inaction on the part of the government and the school was "unconstitutional, arbitrary, discriminatory and violative of the fundamental right to education guaranteed under the Constitution".
The father of the three children has sought directions to the Delhi government to grant admission to them in class 9 of its school at Bhatti Mines in Chhatarpur here.
He has also sought quashing of the 2016 circular.