Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Evening shift · Q49

JEE Main 202313 Apr, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

\mathrm{A}=\{-4,-3,-2,0,1,3,4\}

and

\mathrm{R}=\left\{(a, b) \in \mathrm{A} \times \mathrm{A}: b=|a|\right.

\left.b^{2}=a+1\right\}

be a relation on

\mathrm{A}

. Then the minimum number of elements, that must be added to the relation

\mathrm{R}

so that it becomes reflexive and symmetric, is __________

Your answerType your answer. Integers and decimals are accepted.