CBSE Class 11 Relations and Functions Worksheet Set 03

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1. If A = {1,2}, find ( A×A×A)

2. If A and B are two sets containingm and n elements respectively how many different relations can be defined from A to B ?

3. A Function f is defined by f (x) = 2x - 3 find f (5)

4. Let f = {(0,-5),(1,-2),(2,1),(3,4),(4,7)} be a linear function from z into z find f

5. If A = {1,2,3}B = {3, 4} and c = {4,5,6}

find (i) Ax(B ∪C) (ii) Ax(B ∩C) (iii) ( AxB)∩(BxC)

6. For non empty sets A and B prove that ( AxB) = (BxA)←A = B 

7. Letm be a given fixed positive integer.

let R = [(a,b): a,bεz and (a - b)is divisible by m]

show that R is an equivalence relation on Z.

8. Let A = {1, 2,3,4,5}and B = {1,3,4}

let R be the relation, is greater than from A to B.Write R as a a set of ordered pairs. find domain (R) and range (R)

9. Define modulus function Draw graph. 

10. Draw the graph of the greatest integer function, f (x) = [x].

Click on link below to download CBSE Class 11 Relations and Functions Worksheet C.