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:

Options:

• A: The set $\{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2
• B: The set $\{(x, y) \in \mathbb{R}^2 \mid x = 3, y = 3\}$
• C: The set $\{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 = 9\}$
• D: The set $\{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$

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