Which relational algebra operator combines tuples from two relations based on a common attribute?

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  1. Union
  2. Intersection
  3. Join
  4. Projection

Answer (Detailed Solution Below)

Option 3 : Join
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The correct answer is Option 3) Join.

Key Points

  • Join is a relational algebra operator that combines tuples (rows) from two relations (tables) based on a common attribute.
  • It merges rows from both relations that satisfy a specified condition — typically where values of the common attribute(s) are equal.
  • There are several types of joins, such as:
    • Natural Join – joins on all common attributes automatically.
    • Theta Join – joins using a condition (like =, <, >, etc.).
    • Equi Join – a type of theta join using only the equality operator (=).
    • Outer Join – includes unmatched rows from one or both relations.
  • Join operations are essential for reconstructing data that has been normalized into multiple tables.

Additional Information

  • Option 1 – Union: Combines all tuples from two relations, eliminating duplicates. Both relations must be union-compatible (same number and type of attributes).
  • Option 2 – Intersection: Returns only those tuples that are present in both relations. Also requires union-compatibility.
  • Option 4 – Projection: Selects specific columns (attributes) from a relation, removing duplicates.
  • Join is the only operator among the options that uses a common attribute to combine related rows from two relations.
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