Given below are two statements, one labeled as Assertion (A) and the other as Reason (R). **Assertion (A):** Jeodhar Singh, an ally of Babu Kunwar Singh, successfully maintained a strong pocket of resistance in the Gaya and Arwal regions. **Reason (R):** The British forces under Captain Rattray were completely defeated and unable to re-establish control over Gaya throughout 1857 and 1858. Select the correct answer using the codes given below:

Options:

• A: Both A and R are true and R is the correct explanation of A.
• B: Both A and R are true but R is not the correct explanation of A.
• C: A is true but R is false.
• D: A is false but R is true.

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?