With reference to Varahamihira's encyclopedic work 'Brihat Samhita', consider the following statements: 1. It is an encyclopedic work in Sanskrit covering diverse subjects like astronomy, planetary movements, eclipses, rainfall, agriculture, and architecture. 2. It contains detailed descriptions of gemology, including the classification and testing of pearls and diamonds. 3. It discusses the preparation of perfumes and cosmetics, reflecting the advanced chemical knowledge of the period. Which of the statements given above is/are correct?

Options:

• A: 1, 2 and 3
• B: 1 and 2 only
• C: 2 and 3 only
• D: 1 and 3 only

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?