You are Mr. Srikanth Sharma. You have recently built a new house in the hills of Uttarakhand. Draft a letter inviting your brother and his family to spend a few days with you in your new home. Include relevant details.
[Your Brother’s Name]
[Brother's Address]
Dear Brother,
I am thrilled to inform you that I have recently completed the construction of my new home in the serene hills of Uttarakhand. It would mean so much to me if you and your family could spend a few days with us and enjoy the tranquility of the mountains.
The house is located in a beautiful spot with breathtaking views of the valley. I have planned some exciting activities for your visit, including trekking, sightseeing, and relaxing amidst nature.
Please let me know a suitable time for your visit. I look forward to hosting you all.
Warm regards,
Srikanth Sharma
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 \(P,O,Q\).