Which one of the following pairs is correctly matched ?
(A) Kanpur - Kunwar Singh: Kunwar Singh was from Bihar, and not from Kanpur where the revolt was led by Nana Saheb and Tantya Tope.
(B) Bihar - Gonoo: Gonoo, also called Geynu, was a tribal leader of the Kol rebellion from Singhbhum in Jharkhand, and not Bihar.
(C) Lucknow - Birjis Qadr: Birjis Qadr was the son of the Nawab of Awadh, and led the revolt from Lucknow, and therefore the option is correct.
(D) Singhbhum - Nana Saheb: Nana Saheb led the revolt from Kanpur, and was not associated with Singhbhum.
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 \(P,O,Q\).