COMEDK · Maths · 24. Functions
The range of the relation \(R = \left\{(x, y): y = x + \dfrac{6}{x}\ ;\ \text{where } x, y \in \mathbb{N} \text{ and } x < 6\right\}\) is:
- A \(\{5, 6\}\)
- B \(\left\{5, \dfrac{11}{2}\right\}\)
- C \(\{1, 2, 3\}\)
- D \(\{5, 7\}\)
Answer & Solution
Correct Answer
(D) \(\{5, 7\}\)
Step-by-step Solution
Detailed explanation
Given relation \(R = \left\{(x, y): y = x + \dfrac{6}{x}\ ;\ \text{where } x, y \in \mathbb{N} \text{ and } x < 6\right\}\) Since \(x \in \mathbb{N}\) and \(x < 6\), the possible values of \(x\) are \(1, 2, 3, 4, 5\). Also, \(y \in \mathbb{N}\), which means \(x + \dfrac{6}{x}\)…
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