JEE Mains · Maths · STD 12 - 1. relation and function
Let \(\mathrm{A}=\{-3,-2,-1,0,1,2,3\}\) and R be a relation on \(A\) defined by \(x R y\) if and only if \(2 x-y \in\{0,1\}\). Let \(l\) be the number of elements in R. Let \(m\) and \(n\) be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then \(l+\mathrm{m} \mathrm{n}\) is equal to :-
- A \(18\)
- B \(17\)
- C \(15\)
- D \(16\)
Answer & Solution
Correct Answer
(B) \(17\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \begin{array}{l}2 \mathrm{x}-\mathrm{y}=0 \\ \{0,0\}\{-1,-2\}\{1,2\} \\ 2 \mathrm{x}-\mathrm{y}=1\end{array} \\ & \{0,-1\}\{1,1\}\{2,3\}\{-1,-3\} \\ & \text { Total }(0,0)(-1,-2),(1,2)(0,-1),(1,1)(2,3)(-1,-3) \\ & \text { Reflexive } \quad \mathrm{m}=5 \quad…
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