Arrange the following events in a chronological order and choose the correct option:
I. Beginning of Gupta rule
II. End of Mauryan Empire
III. Rise of Pallavas in Tamil Nadu
IV. Rise of Harshavardhana as a king of Kannauj
II. End of Mauryan Empire: The Mauryan empire ended in the 2nd century BCE. This is a very important phase in ancient India and hence is the earliest in this chronology.
I. Beginning of Gupta Rule: The Gupta dynasty rose to power around the 4th century CE. It is often known as the ‘Golden Age’ of Indian history. The Guptas came into power after several other smaller kingdoms rose after the decline of the Mauryan Empire.
III. Rise of Pallavas in Tamil Nadu: The Pallava Dynasty rose to power in Tamil Nadu around 6th century CE, after the Gupta rule had declined.
IV. Rise of Harshavardhana as a King of Kannauj: Harshavardhana rose to power in the 7th century CE in Kannauj (UP). He was a later ruler compared to the Pallavas.
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 \(P,O,Q\).