Your school organised a workshop on ‘Health and Wellness’ for Classes IX–XII. As a student reporter, write a comprehensive report of the event to be published in your school newsletter. You are Aditi/Aditya of Class XII-A. You may use the cues given along with your own ideas to compose the report.
Health and Wellness Workshop Conducted at DPS Greenfield
-- Report by Aditi/Aditya, Class XII-A A workshop on ‘Health and Wellness’ was held at DPS Greenfield from 17th to 19th June 2025 in the school auditorium for students of Classes IX to XII. The aim was to educate students about healthy lifestyle choices and mental well-being. The sessions were conducted by health professionals and nutritionists who covered topics such as stress management, healthy eating habits, physical fitness, and sleep hygiene. Students actively participated in yoga sessions, group discussions, and interactive Q\&A rounds. The initiative received enthusiastic response and proved to be highly informative. Students gained practical tips on self-care and were motivated to prioritize their health. The event ended with a pledge to adopt a healthier lifestyle.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).