# NCERT Class 12-Mathematics: Chapter – 1 Relations and Functions Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 39**:

Which of the following functions from Z into Z are bijections?

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 40**:

Let be the functions defined by . Then is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 41**:

Let and be the bijective functions. Then is

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 42**:

Let be defined by . Then

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 43**:

Let be defined by . Then is

(A) Constant

(B)

(C)

(D) None of these

**Answer: (C)**

**Question 44**:

Let be the function defined by , then the range of is

(A)

(B)

(C)

(B)

**Answer: (B)**

**Question 45**:

Let be the function defined by and be another function defined by . Then is

(A)

(B)

(C)

(D) None of these

**Answer: (D)**

**Question 46**:

Let be defined by

Then is

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 47**:

Let be given by . Then is

(A)

(B)

(C) Does not exist

(D) None of these

**Answer: (B)**

## Fill in the Blanks in Each of the Exercises 48 to 52

**Question 48**:

Let the relation R be defined in N by if . Then ________.

**Answer**: