# NCERT Class 11-Math's: Chapter –2 Relations and Functions Part 8

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## Objective Type Questions

Choose the correct answers in Exercises from 24 to 35 (M.C.Q.)

**Question 24:**

Let , and . Then the total number of non-empty relations that can be defined from A to B is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 25:**

If , wheredenote the greatest integer function, then

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 26:**

Range of is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 27:**

Let then

(A)

(B)

(C)

(D) None of these

**Answer: (C)**

**Question 28:**

Domain of is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 29:**

If , where *a* and *b* are integers, and , then *a* and *b* are equal to

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 30:**

The domain of the function defined by is equal to

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 31:**

The domain and range of the real function *f* defined by is given by

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 32:**

The domain and range of real function *f* defined by is given by

(A)

(B)

(C)

(D)

**Answer: (C)**