CBSE Class 11 Relations and Functions Worksheet Set 04

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1. If the ordered pairs (x - 2,2y +1) and ( y -1, x + 2)are equal, find x & y 

2. Let A = {-1, 2,5,8}, B = {0,1,3,6,7} and R be the relation, is one less than from

A to B then find domain and Range of R

3. Let R be a relation from N to N define by R = [(a,b): a,bεN and a = b²] .

Is the following true a,bεR implies (b, a)εR

4. Let N be the set of natural numbers and the relation R be define in N by

R = [(x, y) : y = 2x, x, yεN] .what is the domain, co domain and range of R ? Is this relation a function?

5. Let A = {1, 2}and b = {3,4}write A´ B how many subsets will AxB have? List them.

6. Let A = {1,2},B = {1,2,3, 4},C = {5,6} andD = {5,6,7,8} verify that

(i) Ax(B ∩C) = ( AxB)∩( AxC) (ii) AxC is subset of BxD

7. Find the domain and the range of the relation R defined by

R = [( x +1, x + 3): xε(0,1, 2,3,4,5)]

8. Find the linear relation between the components of the ordered pairs of the relation R where R = {(2,1),(4,7), (1,-2),.......}

9. Let A = {1,2,3, 4,5,6} define a relation R from A to A by

R = {(x, y): y = x +1, x, yεA}

(i) write R in the roaster form

(ii) write down the domain co domain and range of R

(iii) Represent R by an arrow diagram

10. A relation ' f ' is defined by f : x→x² - 2where xε{-1,-2,0, 2} 

(i) list the elements of f

(ii) is f a function?                              

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