Assume the given tables Dance and Music. Music S.No. Name Class 1 Mehek

Step 1: Identify the common elements in both tables. We need to find the names that appear in bo

Assume the given tables Dance and Music. Music S.No. ...

Assume the given tables Dance and Music. Music $$ \begin{array}{|l|l|l|} \hline \text { S.No. } & \text { Name } & \text { Class } \\ \hline 1 & \text { Mehek } & 8 \mathrm{~A} \\ \hline 2 & \text { Mahira } & 6 \mathrm{~A} \\ \hline 3 & \text { Lavanya } & 7 \mathrm{~A} \\ \hline 4 & \text { Sanjay } & 7 \mathrm{~A} \\ \hline 5 & \text { Abhay } & 8 \mathrm{~A} \\ \hline \end{array} $$ Dance $$ \begin{array}{|l|l|l|} \hline \text { S.No } & \text { Name } & \text { Class } \\ \hline 1 & \text { Aastha } & \text { 7B } \\ \hline 2 & \text { Mahira } & \text { 6A } \\ \hline 3 & \text { Mohit } & \text { 7B } \\ \hline 4 & \text { Sanjay } & \text { 7A } \\ \hline \end{array} $$ Which operation should be applied to the table to get the following output? (A) $\mathrm{U}$ (B) $\cap$ (C) - (D) $\mathrm{X}$

Assume the given tables Dance and Music.
Music
$$
\begin{array}{|l|l|l|}
\hline \text { S.No. } & \text { Name } & \text { Class } \\
\hline 1 & \text { Mehek } & 8 \mathrm{~A} \\
\hline 2 & \text { Mahira } & 6 \mathrm{~A} \\
\hline 3 & \text { Lavanya } & 7 \mathrm{~A} \\
\hline 4 & \text { Sanjay } & 7 \mathrm{~A} \\
\hline 5 & \text { Abhay } & 8 \mathrm{~A} \\
\hline
\end{array}
$$
Dance
$$
\begin{array}{|l|l|l|}
\hline \text { S.No } & \text { Name } & \text { Class } \\
\hline 1 & \text { Aastha } & \text { 7B } \\
\hline 2 & \text { Mahira } & \text { 6A } \\
\hline 3 & \text { Mohit } & \text { 7B } \\
\hline 4 & \text { Sanjay } & \text { 7A } \\
\hline
\end{array}
$$
Which operation should be applied to the table to get the following output?
(A) $\mathrm{U}$
(B) $\cap$
(C) -
(D) $\mathrm{X}$

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Key Concepts

Set Operations on Relations

Set operations on relations treat database tables as sets of tuples and allow for combining or comparing datasets using operations derived from set theory. These operations, including union, intersection, and difference, help in deriving new relations based on common or distinct data elements among existing tables.

Intersection Operation

The intersection operation in relational algebra is used to retrieve only the tuples that appear in both of the input relations. This operation is particularly useful when you want to extract the common data shared by multiple sources, determining the overlap between different datasets.

Relational Algebra

Relational algebra serves as the theoretical foundation for relational databases, providing a framework for querying and manipulating data. It uses a set of operations such as selection, projection, union, intersection, difference, and Cartesian product to allow structured data to be handled in a precise, mathematical way.

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