Mrs. Savita Manjrekhar
Professor of English
[Your Address]
[City, Pincode]
[Date]
To,
The Principal
J.M. Public School
Cochin
Subject: Regret in Accepting the Invitation for Judging the Debate Competition
Respected Sir/Madam,
I am honored to have received your invitation to judge the inter-school debate competition at your esteemed institution. However, due to prior academic commitments, I regret to inform you that I will not be able to attend the event.
I sincerely appreciate the opportunity and extend my best wishes for the success of the competition. I hope to participate in future events at your institution.
Thank you for your understanding.
Yours sincerely,
Mrs. Savita Manjrekhar
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 \(P,O,Q\).