CBSE Class 11 Relations and Functions Worksheet Set 01

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1. If the ordered Pairs (x -1, y + 3) and (2, x + 4) are equal, find x and y

(i) (3,3) (ii) (3,4) (iii) (1, 4) (iv) (1,0)

2. If, n( A) = 3, n(B) = 2, AAnd B are two sets Then no. of relations of AXB have.

(i) (6) (ii) (12) (iii) (32) (iv) (64)

3. Let f (x) = - | x |then Range of function

(i) (0,∞) (ii) (-∞,∞) (iii) (-∞,0) (iv) none of there

4. A real function f is defined by f (x) = 2x - 5.Then the Value of f (-3)

(i) -11 (ii) 1 (iii) 0 (iv) none of there

 5. Let R = {(x,-y): x, y =εW, 2x + y = 8}then

(i) Find the domain and the range of R (ii) Write R as a set of ordered pairs.

6. Let R be a relation from Q to Q defined by R = {(a,b): a,bεQ and a - bεz,} show that (i)(a, a)εR for all aεQ (ii)(a,b)εR implies that (b, a)ÎR (iii)(a,b)εR and (b,c) εR implies that (a,c)R

7. Find the domain and the range of the function f (x) = 3x² -5. Also find f (-3) and the numbers which are associated with the number 43 m its range.

8. If f (x) = x² - 3x+, find x such that f (2x) = f (x)

9. Find the domain and the range of the function f (x) = x -1 

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