# NCERT Class 12-Mathematics: Chapter –1 Relations and Functions Part 13

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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:**