A relation defined as R = {(1, 2), (3, 4), (2, 4)} find R-1.

  1. {Ø, (2, 1),  (4, 3),  (4, 2)}
  2. {{Ø}, (2, 1),  (4, 3),  (4, 2)}
  3. {(2, 1),  (4, 3),  (4, 2)}
  4. None of these

Answer (Detailed Solution Below)

Option 3 : {(2, 1),  (4, 3),  (4, 2)}
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NDA 01/2025: English Subject Test
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Detailed Solution

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Concept:

If R is a relation from set A to set B, then inverse relation of R to be denoted by R-1, is a relation from set B to set A.

Symbolically R-1 = {(b, a): (a, b) ∈ R for all a ∈ A and b ∈ B}.

Calculation:

 R = {(1, 2), (3, 4), (2, 4)} to find R-1 reverse the sequence (a, b) to (b, a).

R-1{(2, 1), (4, 3), (4, 2)}

Hence, option 3 is the correct answer.

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