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.