The painting in reference is titled "Bharat Meets Rama at Chitrakoot" from the Rajasthani School – Jaipur Sub-school. This artwork is attributed to the artist Guman, an accomplished painter of the Jaipur court.
Artist: Guman
Title: Bharat Meets Rama at Chitrakoot
School: Jaipur School, Rajasthani Style
Medium: Tempera on handmade paper
Subject Matter:
The painting beautifully illustrates a critical episode from the Ramayana where Bharata visits Rama at Chitrakoot to persuade him to return to Ayodhya after King Dasharatha’s death. Rama, however, refuses to break his promise to stay in exile for fourteen years.
Aesthetic Appeal:
The use of strong lines, stylized figures, and rich colors typical of the Jaipur sub-school enhances the emotional depth of the story. The symmetrical arrangement of architectural elements and nature motifs offers both visual balance and symbolic richness.
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 \(P,O,Q\).