The Central Ground Water Authority (CGWA) was established under Section 3(3) of the Environment (Protection) Act, 1986, to regulate and manage groundwater resources. India indeed has the largest area irrigated by groundwater globally, reflecting its heavy reliance on this source for agriculture. While groundwater over-exploitation is a significant issue in many Indian districts, the exact percentage of 'overexploited' or 'critical' districts varies by report and assessment period; however, the other two statements are factually accurate regarding CGWA's origin and India's groundwater irrigation status.