Let {R}_{1} and {R}_{2} be two relations defined as follows: {R}_{1}= \{( {a}, {b})\in{R}^{2}: {a}^{2}+ {b}^{2} \in{Q} \} and {R}_{2}= \{( {a}, {b})\in{R}^{2}: {a}^{2}+ {b}^{2}\notin{Q} \},where Q is the set of all rational numbers. Then: [3 Sep 2020 Shift 2]

Correct Answer is : Neither R1 nor R2 is transitive

{R}_{2} is transitive but {R}_{1} is not transitive

{R}_{1} is transitive but {R}_{2} is not transitive

{R}_{1} and {R}_{2} are both transitive

Neither {R}_{1} nor {R}_{2} is transitive

Sets and Relations Part 1

Section: Mathematics

Question : 95 of 112

Marks: +1, -0

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:

[3 Sep 2020 Shift 2]

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