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QJEEM24Maecc0: JEE Main 2024 Mathematics - Class 11 JEEM24Maecc0 Solution: Let . Let be a relation on defined by if and only if . Let be a …

Let A={1,2,3,…………,100}A=\{1,2,3, \ldots \ldots \ldots \ldots, 100\} . Let RR be a relation on A\mathrm{A} defined by (x,y)∈R(x, y) \in R if and only if 2x=3y2 x=3 y . Let R1R_1 be a symmetric relation on AA such that R⊂R1R \subset R_1 and the number of elements in R1R_1 is n\mathrm{n} . Then, the minimum value of n\mathrm{n} is _________.

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amp;R={(3,2),(6,4),(9,6),(12,8),……….(99,66)}amp;n(R)=33amp;∴66\begin{aligned}& \mathrm{R}=\{(3,2),(6,4),(9,6),(12,8), \ldots \ldots \ldots .(99,66)\} \\& \mathrm{n}(\mathrm{R})=33 \\& \therefore 66\end{aligned}

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