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COMEDK20269 May 2026Evening ShiftMathematicsFunctionsActual

The range of the relation R = (x, y): y = x + 6 x ; where x, y N and x < 6 is:

Options

  1. A5, 6
  2. B5, 11 2
  3. C1, 2, 3
  4. D5, 7

Correct answer

D. 5, 7

Step-by-step solution

Given relation R = (x, y): y = x + 6 x ; where x, y N and x Since x N and x Also, y N , which means x + 6 x must be a natural number. This is possible only when x is a divisor of 6 . Therefore, the valid values of x are 1, 2, 3 . For x = 1 , y = 1 + 6 1 = 7 For x = 2 , y = 2 + 6 2 = 5 For x = 3 , y = 3 + 6 3 = 5 The relation is R = (1, 7), (2, 5), (3, 5) . The range of the relation is the set of all second elements of the ordered pairs, which is 5, 7 . Answer: 5, 7

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