KCET · Maths · Sets and Relations
\(\mathrm{R}\) is a relation on \(\mathrm{N}\) given by \(R=\{(x, y): 4 x+3 y=20\}\). Which of the following belongs to \(R\) ?
- A \((-4,12)\)
- B \((5,0)\)
- C \((3,4)\)
- D \((2,4)\)
Answer & Solution
Correct Answer
(D) \((2,4)\)
Step-by-step Solution
Detailed explanation
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.
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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