Invitation
Dear Parents,
We are pleased to invite you to the exhibition titled 'Children - Our Young Warriors' showcasing the creative works of our students from Classes VI - X. The exhibition will feature art and craft exhibits that highlight the importance of social responsibility.
The exhibition will be held on 25th June 2025 from 10:00 AM to 4:00 PM in the school hall. We hope to see you there and appreciate your support for our students' endeavors.
Warm Regards,
Rajni Gupta
Head, Art Department
Date: 18th June 2025
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 \(P,O,Q\).