Consider the following statements regarding the architectural and structural aspects of early Pataliputra: 1. The initial fortification of Patali-grama was initiated by Ajatashatru's ministers, Sunidha and Vassakara, to repel Vajji attacks. 2. Udayin constructed a royal palace and a Jain temple (Chaityagriha) at the center of the new capital. 3. The early structures of Pataliputra were predominantly made of stone, similar to the cyclopean walls of Rajgir. Which of the statements given above is/are correct?
Options:
- A: 1 and 2 only
- B: 2 and 3 only
- C: 1 and 3 only
- D: 1, 2 and 3
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?