India's nationwide coronavirus lockdown, the biggest in the world covering 1.3 billion people, will be extended until 3 May, Prime Minister Narendra Modi said on Tuesday. The move comes despite complaints from millions of poor, a vast underclass who have been left almost completely without support as jobs have vanished and incomes dried up. \u0022From the economic angle, we have paid a big price,\u0022 Modi said. \u0022But the lives of the people of India are far more valuable. \u0022From the experiences of the last few days it is clear that the path we have chosen is correct.\u0022 India's current three-week-old lockdown, in force since 25 March, had been scheduled to end at midnight Tuesday. Modi said there would be \u0022limited relaxations\u0022 from 20 April for districts with no cases, and new guidelines for industry and agriculture would be released on Wednesday. The announcement comes as debate rages around the world on how to lift restrictions so that the economic carnage of the pandemic can be eased without a new spike in infections. Official figures suggest South Asian nations have so far been relatively unscathed by the epidemic, with around 10,000 cases and 339 deaths in India. Some experts say India has not conducted enough tests and that the true number of infections is much higher. And with some of the most crowded cities on the planet, there are fears that numbers could take off and overwhelm the shaky healthcare system. Several states including Maharashtra -- home to Mumbai and with the highest number of cases -- Tamil Nadu and Odisha have already announced lockdown extensions. The World Health Organisation Tuesday praised India's decision to extend the lockdown, saying \u0022it would go a long way in arresting the virus spread\u0022.