Consider the following statements regarding the volcanic islands of India: 1. Barren Island, located in the Andaman Sea, is the only active volcano in South Asia. 2. Narcondam Island is an extinct volcanic island located northeast of Port Blair. 3. Both Barren and Narcondam islands lie along the volcanic arc associated with the subduction of the Indian Plate under the Burma Plate. Which of the statements given above are correct?
Options:
- A: 1 and 2 only
- B: 1 and 3 only
- C: 2 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?