CBSE Guess > Papers > Important Questions > Class XI > 2010 > Maths > Maths By Mr. Anil Kumar Tondak
CBSE CLASS XI
Relations and Functions
Q.1. Define Modulus function.Draw its graph & mapping.What is its domain & range?;
Q.2. Define Signum function.Draw its graph & mapping.What is its domain & range?
Q.3. Let A = {1, 2, 3} B = {3, 4}; ; and C = {4, 5, 6}
Find (A ´ B) Ç (A ´ C).
Q.4. Let A = 
B = 
C = 
D = 
Verify A´C is a subset of B´D.
Q.5. If P = { 1,2 }, form the set P x P x P.
Q.6. If f(x) = x3 Find; 
Q.7. Let A = {1, 2} and B = { 3, 4}. Find the number of relations from A to B.
Q.8. Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y) : 3x – y = 0, where x, y e A}. Write down its domain, co-domain and range.;
Q.9. Find the domain of the function :
(a). f(x) = 
(b). f(x) = 
Q.10. Find the domain of the following function given by
1 f(x) = x çx ê
2. f(x) = 
3. f(x) = [x] + x
Q.11. Find the range of following functions:
(i). 1f(x) = 
(ii) 2f(x) = 
(iii) nf(x) = 
(iv) f(x) = 1 - êx – 2 ç
(v) f(x) = 
(vi) f(x) = x2 + 6
(vii) f(x) = 
(viii) f(x) = 
Q.12. Let f = 
be a function from R into R. Determine the range of f.
Q.13. The functio n f is defined by : f(x) = 
Draw the graph of f(x).
Q. 14. Find the domain and range of;; f(x) = 
.
Q. 15. Draw graph of following functions:
(i) f(x) = 
(ii) f(x) = x – [x]
(iii) f(x) = çx -2 ê+ êx - 3ç
(iv) f(x) = { 1, if x £ 0 x2 + 1, if 0 < x < 2
(v) if; x 
;2 } 5.f(x) = { 3 – x, if x > 1
(vi) 1, if x = 1
(vii) 2x, if x < 1 }
Q.16. Determine the domain and range of the relation R defined by
R = {(x, x + 5) : x e ;{0, 1, 2, 3, 4, 5}}.
Q.17. Let f(x) = x2 and g(x) = 2x + 1 be two real functions. Find (f – g)
, 
.
Q.18. Let f,g : R®R be defined,respectively by f(x) = x + 1,g(x) =2x – 3.Find f + g, 
.
Q.19. If f(x) = [x] and g(x) = 
;where [x] is the greatest integer function and 
;is the modulus function then find:
.
Q.20. Let f = { (1, 2); (3, 4); (-5, 6) (0, 2) } be a linear function from Z into Z. Find f(x).
Q.21. Let f = {(1,1), (2,3), (0,–1), (–1, –3)} be a function from Z to Z defined by:
f(x) = ax + b, for some integers a, b. Determine a, b.
Paper By Mr. Anil Kumar Tondak
Email Id : [email protected]
Ph No.: 9811363962
