🛠️ JEE➗ Maths

Let \(\mathrm{A}={0,1,2,3,4,5}\). Let R be a relation on A defined by \((\mathrm{x},\mathrm{y})\in \mathrm{R}\) if and o…

Q1

Let \(\mathrm{A}={0,1,2,3,4,5}\). Let R be a relation on A defined by \((\mathrm{x},\mathrm{y})\in \mathrm{R}\) if and only if max \({\mathrm{x},\mathrm{y}}\in {3,4}\). Then among the statements
\(\left({\mathrm{S}}_{1}\right)\) : The number of elements in R is 18 , and
\(\left({\mathrm{S}}_{2}\right)\): The relation R is symmetric but neither reflexive nor transitive

[JEE Main 2025, 8 Apr (Shift 1)]

a

both are true

b

both are false

c

only \(\left({\mathrm{S}}_{2}\right)\) is true

d

only \(\left({\mathrm{S}}_{1}\right)\) is true

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