Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and

1.	Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and a = b2 }. Which of the following is/are true? (i) (a, a) ∈ R, for all a ∈ N (ii) (a, b) ∈ R, implies (b, a) ∈ R (iii) (a, b) ∈ R, (b, c) ∈ R implies (a, c) ∈ R
Answer» Let R be a relation from N to N defined by R = {(a, b): a, b $\in$ N and a = $b^{2}$ }. Which of the following is/are true? (i) (a, a) $\in$ R, for all a $\in$ N (ii) (a, b) $\in$ R, implies (b, a) $\in$ R (iii) (a, b) $\in$ R, (b, c) $\in$ R implies (a, c) $\in$ R

Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and a = b2 }. Which of the following is/are true? (i) (a, a) ∈ R, for all a ∈ N (ii) (a, b) ∈ R, implies (b, a) ∈ R (iii) (a, b) ∈ R, (b, c) ∈ R implies (a, c) ∈ R

Answer»

Let R be a relation from N to N defined by R = {(a, b): a, b $\in$ N and a = $b^{2}$ }. Which of the following is/are true?

(i) (a, a) $\in$ R, for all a $\in$ N

(ii) (a, b) $\in$ R, implies (b, a) $\in$ R

(iii) (a, b) $\in$ R, (b, c) $\in$ R implies (a, c) $\in$ R