
45, Green Meadows
New Delhi
Date: March 20, 2025
The Editor
The National Times
New Delhi
Concern Over Increasing Traffic Issues and Road Rage
Dear Sir/Madam,
Through the columns of your esteemed newspaper, I wish to draw attention to the alarming rise in traffic snarls, road rage, and accidents. The exponential increase in vehicles, budget-friendly cab services, and lack of adherence to traffic rules are significant reasons for this issue.
This problem can be mitigated by improving traffic management during peak hours, stricter enforcement of traffic laws, and promoting awareness about road safety through media campaigns. Initiatives like carpooling and upgrading public transport systems can also significantly reduce congestion.
I urge both authorities and citizens to address this critical issue and contribute towards safer and more efficient roadways.
Yours sincerely,
Brinda/Bharat
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 \(P,O,Q\).