Inter-School Webinar on "Environmental Initiatives"
This is to inform all members of the Environment Club from Classes IX - XII that a webinar on "Environmental Initiatives" will be conducted on 18th June 2025 at 11:00 AM via Zoom. The webinar will cover various environmental topics and the importance of sustainable practices.
Students interested in participating are required to register by 15th June 2025}. For registration details, contact the Environment Club coordinator.
Date: 10th June 2025
Environment Club Coordinator
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 \(P,O,Q\).