A bench of Chief Justice G Rohini and Justice Jayant Nath observed that the plea was not in public interest but for "publicity interest only".
During the hearing, the counsel appearing for petitioner Karuna Chhatwal referred to media reports and said that the Delhi government has not considered the suggestions on not exempting two-wheelers and women in the odd-even scheme.
"These are all newspapers reports. May be they (Delhi government) are considering it," the bench said.
When the counsel urged that the petition be heard, the bench observed, "Sorry, not at this stage. We are only saying that this writ petition is premature. If this was really a public interest litigation, we would not have done this."
Delhi-resident Chhatwal has approached the high court contending that the Aam Aadmi Party government, in the second phase of the scheme, has exempted women and two wheelers which they should not have done.
She submitted that two-wheelers emit pollutants and account for almost 60 per cent of air pollution while cars constitute a part of the remaining air pollution. She said the scheme was introduced to control air pollution and exempting women drivers will defeat the very objective.
The AAP government had announced that the second phase of the 15 days odd-even scheme will start for a fortnight from April 15.
During the first phase of the scheme in January this year, the vehicles exempted from odd-even scheme included the president, vice president, prime minister, chief justice of India, union ministers, governors and chief ministers, barring Delhi. Besides, women drivers, compressed natural gas vehicles, two-wheelers, ambulances, defence and embassy vehicles were also exempted.
Chhatwal had said there was no constitutional provision to grant such exemption and the scheme was "infringing right to life of public at large, which is violation of fundamental right provided under Article 21 of the Constitution of India".
She said the scheme was introduced to control air pollution and exempting women drivers will defeat the very objective.
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