The decline of the Vijayanagara Empire was due to a combination of internal and external factors:
1. Weak Successors: After the death of Krishnadevaraya, the empire faced weak rulers who failed to effectively manage the kingdom, leading to internal instability.
2. Battle of Talikota (1565): The empire's downfall was accelerated by the defeat at the Battle of Talikota, where the combined forces of the Deccan Sultanates defeated the Vijayanagara army. The loss resulted in the destruction of the capital city, Hampi.
3. Economic Strain: The prolonged warfare, both internally and with external forces, drained the empire's resources, weakening its economy. The failure to address economic issues further contributed to its decline.
Thus, a mix of internal weaknesses and external invasions contributed to the collapse of the Vijayanagara Empire.
Fill in the blank with the suitable option given below:
The Revolt of 1857 marked the end of the ___________ dynasty in India.
Identify the ruler from Indian history with the following information:
- Ruler of Bhopal
- Ruled from 1868 to 1901 CE
- Helped in preserving the Sanchi Stupa
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 \(P,O,Q\).