P.S. Public School, Aram Nagar has opened a gym for the benefit of students. As Sports Captain, draft a notice informing students about the facilities available in the gym, timings and other details.
Date: [Insert Date]
Subject: Gym Facility for Students
This is to inform all students that the school has opened a state-of-the-art gymnasium on campus for the benefit of students. The gym offers modern equipment, including treadmills, weights, and fitness machines.
Timings: 7:00 AM to 9:00 AM and 4:00 PM to 6:00 PM.
Students are encouraged to use this facility to maintain their fitness and health. For further details, contact the undersigned.
[Name]
Sports Captain
Letter Writing: A1 or A2. Do any one of the following: Situation:
Uncontrolled use of mobile phones and video games is affecting school-going children. As a result, they are suffering from many diseases. Imagine you are Saurabh/Shrushti, residing at Malad, Mumbai. You read the above clipping in the newspaper. Write a letter to the editor expressing your concern about this issue.
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 \(P,O,Q\).