Let X = \\{ Ram, Geeta, Akbar \\} be the set of students of Class XI, who are in school hockey team. Let Y = \\{ Geeta, David, Ashok \\} be the set of students from Class XI who are in the school football team. Find $X \cap Y$ and interpret the set.

Step 1: Identify the given sets

We are given two sets of students. Set $X$ represents students in the hockey team, and set $Y$ represents students in the football team.

Step 2: Find the intersection of the sets

The intersection of two sets, denoted by $X \cap Y$, consists of all elements that are common to both sets $X$ and $Y$. In this case, 'Geeta' is the only student present in both the hockey team and the football team.

Step 3: Interpret the resulting set

The set $X \cap Y$ contains the names of students who are members of both the school hockey team and the school football team. This means 'Geeta' is a member of both teams.

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