COMEDK · Maths · 20. Sets and Relations
\(R\) is a relation on \(N\) given by \(R=\{(x, y) \mid 4 x+3 i j=20\}\). Which of the following belongs of \(R\) ?
- 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
(a) When \(x=-4\), then \[ 4(-4)+3 y=20 \Rightarrow y=12 \] But \(x=-4 \notin N\) \[ \therefore \quad(-4,12) \notin R \] (b) When \(x=5\), then \[ \begin{aligned} &4(5)+3 y=20 \Rightarrow y=0 \\ &(5,0) \notin R \end{aligned} \] \[ \therefore \quad(5,0) \notin R \] (c) When…
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