Mark the correct alternative in the following:

A relation φ from C to R is defined by xφy |x| = y. Which one is correct?


We have xφy |x| = y

By checking the options,


A. (2 + 3i) φ 13


X = 2 + 3i;



= √13


Therefore, |x|≠ y.


So, option A is incorrect.


B. 3 φ (3)


X = 3;



= 3


3 ≠(-3)


Therefore, option B is incorrect.


C. (1 + i) φ 2


X = 1+ i;



= √2


√2 ≠ 2


Therefore, option C is also incorrect.


D. iφ 1


x = i;



= 1


1 = 1


|x| = y.


Therefore, option D is correct.

1