Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
Therelation $R$ defined on set $\mathrm{A}=\{x:|x| < 3, x \in \mathrm{I}\}$ by $R=\{(x, y): y=|x|\}$ is
MathematicsSets and RelationsVITEEEVITEEE 2013
Options:
  • A $\{-2,2),(-1,1),(0,0),(1,1),(2,2)\}$
  • B $\{(-2,-2),(-2,2),(-1,1),(0,0),(1,-2),(1,2)$, $(2,-1),(2,-2)\}$
  • C $\{0,0),(1,1),(2,2)\}$
  • D None of the above
Solution:
2224 Upvotes Verified Answer
The correct answer is: $\{-2,2),(-1,1),(0,0),(1,1),(2,2)\}$
$\begin{array}{l}
A=\{x:|x| < 3, x \in I\} \\
A=\{x:-3 < x < 3, x \in I\}=\{-2,-1,0,1\} \\
\text { Also, } R=\{(x, y): y=|x|\} \\
\therefore R=\{(-2,2),(-1,1),(1,1),(0,0),(2,2)\}
\end{array}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.