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KCET2008MathematicsSets and Relations

R is a relation on N given by R= (x, y): 4 x+3 y=20 . Which of the following belongs to R ?

Options

  1. A(-4,12)
  2. B(5,0)
  3. C(3,4)
  4. D(2,4)

Correct answer

D. (2,4)

Step-by-step solution

Given, R= (x, y): 4 x+3 y=20 . Since, is a relation on , therefore x, y are the elements of . In the given options (a), (b) and (d) satisfy the given relation, but in options (a) and (b) elements are not natural numbers. Hence, option (d) is the correct answer.

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