You are the President of the Cultural Club of Marigold Public School, Vir Nagar. As part of the Annual Community Service Week, you are planning to put up a cultural performance in ‘Ahista’, a senior citizens home. Draft a notice for the school notice board inviting participation by the students. Invent necessary details.
In today’s fast-paced world, fitness apps have become a popular tool for tracking and improving health. There are many youngsters who use these fitness apps blindly. As the country moves towards Fit India, it is time to understand the pros and cons of fitness apps. Write an article for your school magazine educating the youth on the pros and cons of fitness apps. You are Kirti/Kirat, a school fitness coach. You may use the following cues along with your own ideas to compose the article.
Write an article exploring the importance of mental health awareness among Indian youth, providing examples to illustrate your points. You are Neha/Nitin Kapoor, a class XII student. You may use the cues given below along with your own ideas: 
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 \(P,O,Q\).