Math practice sheet class 11

MATHEMATICS
F.Sc / ICS – 1st Year
Practice Sheet Chapter 11
MCQs
(1) The domain of cos x is:
(A)  0,1 (B) (C)  1,1 (D)  1, 0



x
(2) Period of tan is:
2
 3
(A)  (B) 2 (C) (D)
2 2


x
(3) Period of cos   :
2

(A) 2 (B) (C) 3 (D) 4
2


(4) Period of 3sin 2x is:

(A) 6 (B) 2 (C)  (D)
2


(5) Period of cot  is:
 3
(A)  (B) 2 (C) (D)
2 2


(6) Range of cotangent function is:
(A) N (B) Z (C) R (D) C



x
(7) The period of 3cos   is:
5
 
(A)  (B) 10 (C) (D)
10 5


(8) The range of sin x is:
(A)  1, 0 (B)  1,1 (C)  0, 2 (D)  2, 2

, (9) Range of y  sec x is:
(A)  1,1 (B)  0,   (C) x  1, x  1 (D) y  1, y  1



(10) Period of tan5x is equal to:
2 
(A)  (B) 5 (C) (D)
5 5


(11) The Period of tangent function is:
  
(A) (B) (C) (D) 
4 2 3


(12) Domain of the function y  cot x is:
(2n  1)
(A)   x   (B)   x  , x  , nZ
2
(C) 1  x  1 (D)   x  , x  n , n  Z




EXERCISE 11.1
SHORT QUESTIONS
1. Define Periodicity. (GRW 24, G-II), (SGD 24, G-I)




2. Define periodic function and period of trigonometric function.
(LHR 24, G-II), (RWP 24, G-II), (MTN 24, G-I), (SWL 24, G-II)




3. Write the domain and range of y  sin x (MTN 24, G-II), (FSD 24, G-II), (D.G.Khan 24, G-II)




4. What is the domain and range of y  cos x ? (FSD 24, G-I), (SGD 24, G-I), (RWP 24, G-I)