R={(a,b):a,b∈N;a=b2} (i) It can be seen that 2∈N; however 2=22=4 Therefore the statement (a,a)∈R for all a∈N is not true
(ii) It can be seen that (9,3)∈N because 9,3∈N and 9=32 Now 3=92=81 ∴(3,9)∈/N Therefore the statement (a,b)∈R implies (b,a)∈R is not true.
(iii) It can be seen that (9,3)∈R,(16,4)∈R because 9,3,16,4∈N and 9=32 and 16=42 Now 9=42=16 ∴(9,4)∈/N Therefore the statement (a,b)∈R,(b,c)∈R implies (a,c)∈R is not true