
C-123, Green Valley
Khushbagh
Date: March 20, 2025
The HR Manager
India Helptel Company
Mumbai
Application for the Position of Management Trainee
Dear Sir/Madam,
I am writing to express my interest in the position of Management Trainee in your INDIA WIDE LOGISTICS Department, as advertised. I am a fresh MBA graduate with a specialization in Marketing from Singla Institute of Management, Khushbagh.
My qualifications, skills, and experience align well with the requirements of the position. I possess excellent communication skills, both written and verbal, and am proficient in English and my state language. I am confident that my academic background and enthusiasm to contribute to a dynamic organization like India Helptel Company will make me a valuable addition to your team.
Enclosed herewith is my bio-data for your perusal. I would be honored to discuss my application further in an interview.
Thank you for considering my application.
Yours sincerely,
Amar/Anita
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 \(P,O,Q\).