The minimum number of elements that must be added to the relation R=\(a, b),(b, c) on the set, b, c so that it becomes symmetric and transitive is:

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Morning shift · Q5388

JEE Main 202330 Jan, Morning shiftMathematicsEasySets, Relations and Functions168× since 2002

The minimum number of elements that must be added to the relation

\mathrm{R}=\{(\mathrm{a}, \mathrm{b}),(\mathrm{b}, \mathrm{c})\}

on the set

\{a, b, c\}

so that it becomes symmetric and transitive is :

JEE Main 2023 · 30 Jan, Morning shift · Q5388

JEE Main 202330 Jan, Morning shiftMathematicsEasySets, Relations and Functions168× since 2002

The minimum number of elements that must be added to the relation

\mathrm{R}=\{(\mathrm{a}, \mathrm{b}),(\mathrm{b}, \mathrm{c})\}

on the set

\{a, b, c\}

so that it becomes symmetric and transitive is :