MCQ
Let R be a relation on N defined by x + 2y = 8. The domain of R is:
  • A
    {2, 4, 8}
  • B
    {2, 4, 6, 8}
  • {2, 4, 6}
  • D
    {1, 2, 3, 4}

Answer

Correct option: C.
{2, 4, 6}
x + 2y = 8
⇒ x = 8 - 2y
For y = 1, x = 6
y = 2, x = 4
y = 3, x = 2
Then R = {(2, 3), (4, 2), (6, 1)}
$\therefore$ Domain of R = {2, 4, 6}

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