JEE Main 2023 — Sets And Relations Question with Solution
From: JEE Main 2023 (Online) 8th April Morning Shift
Question
Let and be the relation defined on such that is odd positive integer or . The minimum number of elements that must be added to the relation , so that it is a symmetric relation, is equal to ____________.
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Show full solutionCorrect answer: 19
Correct answer
19
Step-by-step explanation
We have,
Case I : is odd, if one is odd and one is even and .
Possibilites are , ,
No. of cases
Case II :
Possibilities are
No. of cases
So, minimum ordered pair to be added
Case I : is odd, if one is odd and one is even and .
Possibilites are , ,
No. of cases
Case II :
Possibilities are
No. of cases
So, minimum ordered pair to be added
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