Let R be a relation from N to N defined by R=\{(x, y): x, y \in N and x^2=y^3\} Which of the following are not correct ? 1. (x, x) \in R for all x \in N 2. (x, y) \in R \Rightarrow(y, x) \in R 3. (x, y) \in R and (y, z) \in R \Rightarrow(x, z) \in R Select the correct answer using the code given below : [NDA II 2022]

UPSC NDA 2 2022 Mathematics Solved Paper

Question : 14 of 120

Marks: +1, -0

Let R be a relation from N to N defined by R={(x,y):x,y∈N and x2=y3} Which of the following are not correct ?
1. (x,x)∈R for all x∈N
2. (x,y)∈R⇒(y,x)∈R
3. (x,y)∈R and (y,z)∈R⇒(x,z)∈R
Select the correct answer using the code given below :

[NDA II 2022]

1 and 2 only NN .defenc
2 and 3 only
1 and 3 only
1,2 and 3

Validate

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