Identify the name of a British official from the information given below.
• He adopted policies of reforming Indian society by introducing western education.
• He established laws to abolish Sati system.
• He permitted remarriage of Hindu widows
Lord William Bentinck: Lord William Bentinck was the Governor-General of India and he implemented various policies aimed at social reforms, including the abolition of Sati in 1829, and he is also credited for introducing western education and bringing in policies permitting the remarriage of Hindu Widows.
Lord Mountbatten: Lord Mountbatten was the last Viceroy of British India, and is known for the partition of India in 1947 and is not known for social reforms in India.
Lord Wellesley: Lord Wellesley was known for his policies of subsidiary alliance and territorial expansion, and was not involved in these social reforms.
Lord Ripon: Lord Ripon was also a governor general, and is known for his Local Self government policies, but is not associated with the abolishment of Sati.
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 \(P,O,Q\).