47G, Alfa Colony
Nalbagh
27 June 2025
The HR Director
Financial Solutions Ltd.
37 Meghdoot Towers
Nalbagh
Subject: Application for the post of Junior Accountant
Sir/Madam,
In response to your advertisement, I would like to apply for the position of Junior Accountant. I hold a degree in Accounting and possess over five years of experience using accounting software. I am adept at preparing financial reports and managing accounts. I have enclosed my bio-data for your perusal and hope to be considered for this role.
Yours faithfully,
Madhumita
BIO-DATA
Name: Madhumita
Address: 47G, Alfa Colony, Nalbagh
Email: madhumita@example.com
Qualifications: B.Com in Accounting, Proficient in Tally and MS Excel
Experience: 5+ years as Accountant at XYZ Pvt Ltd
Skills: Report generation, invoice management, account auditing
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 \(P,O,Q\).