CBSE Class 11 Relations and Functions Worksheet Set 02

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1. If P = {a,b,c} and Q = {d}, form the sets PxQ andQ xP are these two Cartesian products equal?

2. If A and B are finite sets such that n( A) = mand n(B) = k find the number of relations from A to B

3. Let f = {(1,1), (2,3), (0,-1), (-1,3),......}be a function from z to z defined by f (x) = ax + b, for same integers a and b determine a and b.

4. Express {(x, y) : y + 2x = 5, xyεw}as the set of ordered pairs 

5. Let a relation R = {(0,0),(2,4), (-1, 2), (3,6),(1,2)}then (i) write domain of R (ii) write range of R

(iii) write R the set builder form (iv) represent R by an arrow diagram

6. Let A = {1,2,3}, B = {1,2,3,4} and R = {(x, y): (x, y)ε AxB, y = x +1}

(i) find AxB (ii) write R in roster form

(iii) write domain & range of R (iv) represent R by an arrow diagram

7. The cartesian product AxA has a elements among which are found (-1,0) and (0,1). find the set and the remaining elements of AxA

8. Find the domain and the range of the following functions  f x=1/√5-x

9. Let f (x) = x +1and g (x) = 2x - 3be two real functions. Find the following functions 

(i )f + g (ii) f -g (iii) fg (iv)  f/g (v)f²-3g

10. Let f be a function defined by F : x→5x2 + 2, xεR

(i) find the image of 3 under f (ii) find f (3) + f (2) 

(iii) find x such that f (x) = 22

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