The following questions are for the Visually Impaired Candidates in lieu of Question.
(a) Mention any one mature Harappan site in India.
(b) Mention one Buddhist site in Maharashtra.
(c) Name any one territory which was under the Mughals.
(d) Name the capital of the Vijayanagara Empire.
(e) Name any two centres of the Indian National Movement.
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 \(P,O,Q\).