Q7 of 76 Page 2

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.

More from this chapter

All 76 →
5

Mark the correct alternative in the following:

If R = {(x, y) :x, yZ, x2 + y2≤ 4} is a relation on Z, then domain of R is


 6

Mark the correct alternative in the following:

A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by :xRyx is relatively prime to is relatively prime to y. Then, domain of R is


 8

Mark the correct alternative in the following:

Let R be a relation on N defined by x + 2 y = 8. The domain of R is


 9

Mark the correct alternative in the following:

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x− 3. Then, R−1 is