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JEE Main Math Class 11 Relations and Functions Part 1 Questions

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Question : 43

Total: 100

Let R1 and R2 be two relations defined as follows :
R1={(a,b)∈R2:a2+b2∈Q} and R2={(a,b)∈R2:a2+b2∉Q}, where Q is the set of all rational numbers. Then :

[Sep. 03, 2020 (II)]

Neither R1 nor R2 is transitive.
R2 is transitive but R1 is not transitive.
R1 is transitive but R2 is not transitive.
R1 and R2 are both transitive.

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