icon
Practice Test
Test created by star faculties who have produced AIR 1,2,8,14,35,47,53,61,91 and many more !
Total duration of this test
60 mins
Marking scheme - Mains
+3 marks for each correct response and -1 for each negative response.
0 marks for each unanswered question.
Questions
Section Type: Single
+4 marks for each correct response and -1 for each negative response.
0 marks for each unanswered question.
1 The value of the expression is
(A) (B)
(C) (D) None of these
2 If then x is equal to
(A) (B)
(C) (D) none of these.
3 The value of is equal to
(A) (B)
(C) (D) None of these
4 If then one of the values of
is equal tO
(A) (B) 5
(C) 1/2 (D) 1
5 The value of is
(A) 2 (B)
(C) (D)None of these
6
(A) -1/3 (B) 0
(C) 1/3 (D) 4/9
7 If , then the value of depends on
(A)Both and (B) and not
(C) and not (D) Neither nor
8 . If , then is equal to
(A)10 (B)
(C) (D)
9 The value of for which is
(A) (B) 1
(C) 0 (D)
10
The value of is equal to:
(A) (B)
(C) (D)
11 The value of is
(A) (B)
(C) (D)
12 If and then is
equal to
(A) 0 (B)
(C) (D)
13 If then is equal to
(A)1 (B) 0
(C) 3 (D)
14 Which one of the following is correct?
(A) (B)
(C) (D) None of these
15 If and , then
(A) (B)
(C) (D)
-1
16 The domain of f(x) = cos (2 - x) is:
(A) [0,1] (B)
(C) [1,3] (D)None of these
17 Range of is
(A) (B)
(C) (D) None of these
18
If domain of the function is [a,b], then a + 2b =
(A) 0 (B) 1
(C) 2 (D) 3
19
A possible value of is :
(A) (B)
(C) (D)
20 The domain of the function is:
(A) (B)
(C) (D)
21 is equal to :
(The inverse trigonometric functions take the principal values)
(A) (B)
(C) (D)
Section Type: Numerical
+4 marks for each correct response and -1 for each negative response.
0 marks for each unanswered question.
22
If sin = 1 and the value of x is 1/k then k =
23 If . Then n =
24 Find the number of solutions:
25 Let the inverse trigonometric functions take principal values. The number of real solutions of the equation , is
______.
Student Name Roll Number Subject Mobile Number
Section Type: Single Section Type: Numerical
1 A B C D
. .
2 A B C D
22 0 0 0 0 0 0 0 . 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 . 0 0 0 0 0 0 0
3 A B C D 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
4 A B C D
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
5 A B C D
4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
6 A B C D 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
7 A B C D
7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
8 A B C D
8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
9 A B C D 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
10 A B C D
.
11 A B C D
23 0 0 0 0 0 0 0 . 0 0 0 0 0 0 0
12 A B C D 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 2 2 2 2 2 2 2 2 2 2 2 2 2
13 A B C D
3 3 3 3 3 3 3 3 3 3 3 3 3 3
14 A B C D
4 4 4 4 4 4 4 4 4 4 4 4 4 4
15 A B C D 5 5 5 5 5 5 5 5 5 5 5 5 5 5
6 6 6 6 6 6 6 6 6 6 6 6 6 6
16 A B C D
7 7 7 7 7 7 7 7 7 7 7 7 7 7
17 A B C D
8 8 8 8 8 8 8 8 8 8 8 8 8 8
18 A B C D 9 9 9 9 9 9 9 9 9 9 9 9 9 9
19 A B C D
.
20 A B C D
24 0 0 0 0 0 0 0 . 0 0 0 0 0 0 0
21 A B C D 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 2 2 2 2 2 2 2 2 2 2 2 2 2
3 3 3 3 3 3 3 3 3 3 3 3 3 3
4 4 4 4 4 4 4 4 4 4 4 4 4 4
5 5 5 5 5 5 5 5 5 5 5 5 5 5
6 6 6 6 6 6 6 6 6 6 6 6 6 6
7 7 7 7 7 7 7 7 7 7 7 7 7 7
8 8 8 8 8 8 8 8 8 8 8 8 8 8
9 9 9 9 9 9 9 9 9 9 9 9 9 9
