Let A=\{2,3,6,8,9,11\} and B=\{1,4,5,10,15\} Let {\R} be a relation on {\A} \times {\B} define by ( {\a}, {\b}) {\R}( {\c}, {\d}) if and only if 3 {\ad}-7 {\bc} is an even integer. Then the relation {\R} is [8 Apr 2024 Shift 2]

Correct Answer is : reflexive and symmetric but not transitive.

reflexive and symmetric but not transitive.

JEE Main 8 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 18 of 90

Marks: +1, -0

Let A={2,3,6,8,9,11} and B={1,4,5,10,15} Let R be a relation on A×B define by (a,b)R(c,d) if and only if 3‌ad−7‌bc is an even integer. Then the relation R is

[8 Apr 2024 Shift 2]

reflexive but not symmetric.
transitive but not symmetric.
reflexive and symmetric but not transitive.
an equivalence relation.

Validate

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