4: VC-dimension of Indicator functions of Convex sets Let x = R^2 , and let H be the hypothesis class of indicator functions of convex sets in the real plane. A set k \in R^2 is convex if for any pair of points x, x' \in k, the line segment connecting x and x' lies entirely inside k. For example, circular discs, ellipsoids, ellipsoids, polygonal regions are all convex sets in R^2. The hypothesis class we consider here is the class where each h_{k} \in H is the indicator function of some convex set k\subseteq R^2, i.e., h_{k}(x) = 1 if x \in k and 0 otherwise. What is VC(H)? show a clear reasoning for your answer. [Hint: When you think of sets of domain points that can be shattered by H, think of points located on the perimeter of a circle.]