Given below are two statements, one labelled as Assertion (A) and the other labelled as **Reason (R):** Assertion (A):** As we go deep inside the Earth, the value of acceleration due to gravity (g) decreases and becomes zero at the center of the Earth. **Reason (R):** The mass of the Earth responsible for the gravitational pull decreases as we go deeper, and at the center, the net gravitational force from the surrounding shell cancels out. Select the correct answer using the codes given below:

Options:

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

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?