The geopolitical conflict between the Vijayanagara Empire and the Bahmani Sultanate (and later the Bijapur Sultanate) centered heavily on the control of the Raichur Doab. Which of the following best explains the strategic and economic significance of this region?
Options:
- A: It was the only land route connecting the Deccan to the ports of the Malabar Coast.
- B: It contained the rich iron ore mines necessary for manufacturing advanced artillery.
- C: It was a highly fertile tract of land between the Krishna and Tungabhadra rivers, rich in diamond mines and agricultural revenue.
- D: It served as a natural buffer zone that prevented direct military contact between the two empires.
Related Practice Questions:
- Let $S_1$ and $S_2$ be two disjoint, non-empty convex sets in $\mathbb{R}^n$. Under which of the following conditions is there guaranteed to exist a hyperplane that strictly separates $S_1$ and $S_2$?
- Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?
- Let $S = \{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$ be a convex set in $\mathbb{R}^2$. The set of all extreme points of $S$ is given by:
- In a linear programming problem with $3$ independent equality constraints and $5$ variables (including slack/surplus variables), what is the maximum possible number of basic solutions?