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KCET2026MathematicsSets and Relations

Let R be the relation in the set N given by R = (a, b) : a = b - 2, b > 6 . Which of the following is the correct answer?

Options

  1. A(2, 4) R
  2. B(3, 8) R
  3. C(6, 8) R
  4. D(8, 7) R

Correct answer

C. (6, 8) R

Step-by-step solution

Given relation R = (a, b) : a = b - 2, b > 6 on the set of natural numbers N . For (2, 4) , b = 4 which is not greater than 6 . Thus, (2, 4) R . For (3, 8) , b = 8 > 6 but a = 3 8 - 2 . Thus, (3, 8) R . For (6, 8) , b = 8 > 6 and a = 6 = 8 - 2 . Thus, (6, 8) R . For (8, 7) , b = 7 > 6 but a = 8 7 - 2 . Thus, (8, 7) R . Answer: (6, 8) R

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