The Pahari miniature in reference is titled "Krishna with Gopis" by the renowned artist Manaku of the Basohli sub-school under the Pahari school of miniature painting. This exquisite composition showcases the devotional and divine love of the Gopis towards Lord Krishna.
Artist: Manaku
Title: Krishna with Gopis
School: Pahari School – Basohli Sub-school
Medium: Tempera on handmade paper
Aesthetic Qualities:
Significance:
This painting not only captures a moment from mythology but also conveys deeper emotions of bhakti (devotion), surrender, and divine love. It is a brilliant blend of narrative art, devotion, and vibrant visual storytelling.
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 \(P,O,Q\).