The students, studying at various coaching centres in Outram Lines, Kingsway Camp and Mukherjee Nagar in north Delhi, filed an application before a bench of Acting Chief Justice Gita Mittal and Justice C Hari Shankar.
The bench is likely to take up their plea on October 9 when the main petition against the running of coaching centres from residential properties is listed for hearing.
"The applicants are at the most crucial stage of their life where their future will depend on their performance in the competitive exams and any hindrance and wastage of time will leave them behind, spoiling their future.
"There are around 20,000 students studying in the area of Mukherjee Nagar and the decision of the court would directly affect the career and future of the students," the plea filed through advocates Arvind Singh and Amit Kocher said.
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The applicants are students preparing for various competitive exams such as civil services, judiciary and staff selection commission at various coaching centres in Mukherjee Nagar.
The court has been hearing petitions by Delhi residents Sanjay Singhal and Kanchan Gupta, who have alleged that the MCD had allowed over 100 coaching centres to be run illegally from residential properties.
They have also said that these centres were allowed to come up without conforming to the requirements of the master plan for buildings where such use is permitted.
"The main roads in front of the building being converted into parking space for the students and the employees of the coaching centres, creating bottleneck for the traffic apart from the nuisance due to noise and lack of water and electricity," the petitioners have claimed.
The court had earlier observed that the national capital "will breathe" easier if it stayed all such conversion of residential property for commercial use without adhering to the master plan requirements.