The painting "Radha (Bani Thani)" is a celebrated masterpiece of the Kishangarh sub-school of the Rajasthani miniature tradition. Painted by Nihal Chand, this work is widely admired for its poetic elegance and idealized portrayal of feminine beauty.
Artist: Nihal Chand
School: Kishangarh (Rajasthani School)
Medium: Tempera on handmade paper
Artistic Appreciation:
Conclusion:
Nihal Chand has been highly successful in showcasing the idealized beauty of a woman through Bani Thani. The painting is often compared to the Mona Lisa for its universal appeal and has become an iconic symbol of Indian miniature portraiture.
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 \(P,O,Q\).