Gopal Krishna Gokhale: It was on the advice of Gopal Krishna Gokhale, who was known as Gandhiji's political mentor, that Gandhi traveled around British India to understand the various issues related to the country and the life of its people.
Bal Gangadhar Tilak, Bipin Chandra Pal and Lala Lajpat Rai: All of these three were nationalist leaders but they were not Gandhiji's political mentor, nor did they advise him to travel across the country.
On the same political outline map of India, two places related with the centres of revolt of 1857 one marked as A and B. Identify them and write their names on the lines marked near them.
(A) Delhi
(B) Calcutta
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 \(P,O,Q\).