You are Mr. Shyam Sundar, Professor of Psychology. You are invited by S.K.M. College, Mahboob Nagar to be the keynote speaker at its Annual Conclave on ‘Student Health – The Emotional Impact of Social Media.’ Draft a reply letter expressing your inability to accept the invitation and also cite a reason for refusal.
The Principal
S.K.M. College
Mahboob Nagar
Subject: Regret for Inability to Accept Invitation
Dear Sir/Madam,
I am honored by your invitation to be the keynote speaker at the Annual Conclave on ‘Student Health – The Emotional Impact of Social Media’ at your esteemed institution. However, I regret to inform you that I am unable to accept the invitation due to prior professional commitments.
I sincerely appreciate the opportunity and hope to contribute in the future. Wishing you great success with the event.
Yours sincerely,
Shyam Sundar
Professor of Psychology
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 \(P,O,Q\).