Class 11 PT I Question Paper 2024-25 Maths

PERIODIC TEST
QUESTION PAPER
Question Paper for CBSE Board, KV Schools,
State Board following NCERT Syllabus

PT 1 | PT 2

Question Paper based on NCERT Syllabus
CBSE Board Question Paper / KV Schools Question Paper

Unit Test -01 (2024-25)
Class : XI
Mathematics (Code-041)

Time Allowed:90 minutes Maximum Marks :40
General Instructions:
1. This question paper contains five sections – A, B, C, D and E. Each part is compulsory.
2. Section A has 8 multiple choice type questions and 1 assertion reasoning question of 1 mark each.
3. Section- B has 4 short answer type questions of 2 marks each.
4. Section- C has 3 short answer type questions of 3 marks each.
5. Section- D has 2 long answer type questions of 5 marks each.
6. Section- E has 1 case based question of 4 marks.
7. There is an internal choice in some of the questions.
Q.NO. SECTION – A ( Multiple Choice Questions) Marks
1. If 𝐴 ∩ 𝐵’ = ∅ then 1
(a) A ⊂ B (b) B ⊂ A (c) A = B (d) none of these
2. If [𝑥]2 - 5[𝑥] + 6 = 0, where [ ] denote greatest integer function, then 1
(a) x ∈ [3,4] (b) x ∈ (2, 3] (c) x ∈ [2,3] (d) x ∈ [2, 4)
𝜋
3. If 𝛼 + 𝛽 = 4 , then the value of (1 + tan 𝛼)(1 + tan 𝛽) is 1

(a) 1 (b) 2 (c) -2 (d) None of these
4. The conjugate of (5 + 2i)2 is 1
(a)5 − 2i (b)21 − 20i (c)6 − 17i (d)None of these
5. The number of subsets of a set containing 5 elements is 1
(a) 10 (b) 25 (c) 32 (d) none of these
6. x 2 3 1 1
If (2 + 1, y − 3) = (2 , 3) , the value of 2x + y will be

(a)4 (b)3 (c)0 (d)None of these
7. The greatest value of 𝑠𝑖𝑛𝑥 𝑐𝑜𝑠𝑥 is 1
1
(a) 1 (b) 2 (c) √2 (d) 2
1
8. If 𝑧 = (2+3𝑖)2 then |z| = 1

(a) 1⁄√13 (b) 1/13 (c) √13 (d) 13
9 In the following question, a statement of assertion (A) is followed by a statement of 1

Reason (R). Choose the correct answer out of the following choices.
a) Both A and R are true and R is the correct explanation of A.
b) Both A and R are true but R is not the correct explanation of A.
c) A is true but R is false.
d) A is false but R is true.

Assertion (A): If A = {1,2,3}, B = {2,4}, then number of relation from A to b is equal to
32.
Reason (R): The total number of relation from set A to set B is equal to 2𝑛(𝐴).𝑛(𝐵) .
SECTION B
− 11π
10 Find the value of sin( 3 ) OR 2

A wheel makes 360 revolutions in one minute. Through how many radians does it
turn in one second?
11 Let A = {1,2,3 … … … … 14}. Define a relation R from set A to A by 2
R = {(x, y) ∶ 3x – y = 0, where x, y ∈ A } . Write down the domain, co domain and
range.
12 5+2i 2
Find the multiplicative inverse of : in a+ib form
3+i

13 Solve for x and y: (x + iy) (2 − 3i) = 4 + i 2
SECTION C
14 Let A and B be two sets. If A ∩ X = B ∩ X = ∅ and A ∪ X = B ∪ X for some set X, 3
show that A = B.
15 Find domain and range of the function 𝑓(𝑥) = √9 − 𝑥 2 3
OR
𝑥2
Find domain and range of the function 𝑓(𝑥) =
1+ 𝑥 2
16 −4 𝑥 𝑥 𝑥 3
If 𝑡𝑎𝑛 𝑥 = , x lies in quadrant II, Find the value of sin 2 ,cos 2 and tan 2.
3
SECTION D
17. 𝜋 𝜋 3 5
Prove that: cos2 x + cos2 ( x + ) + cos2 ( x - ) =
3 3 2

OR
𝑥 9𝑥 5𝑥
Prove that: 𝑐𝑜𝑠 2𝑥 𝑐𝑜𝑠 − 𝑐𝑜𝑠 3𝑥 𝑐𝑜𝑠 = 𝑠𝑖𝑛 5𝑥 𝑠𝑖𝑛
2 2 2

18 3+2𝑖 sin 𝜃 5
Find real  such that is purely real.
1−2𝑖 𝑠𝑖𝑛𝜃

SECTION E ( CASE BASED QUESTION)
19 A , B and C are three sets and U is the universal set given as follows: 1+1+2
A = { 1, 2, 3, 5, 7, 9}
B = { 2, 4, 6, 8}
C = {2, 3, 5, 7}

And U = { 1, 2, 3, ..................., 10} Then
(a) Represent the above set in the form of Venn diagram.
(b) Find (𝐴𝑈𝐵) – (𝐴 ∩ 𝐶)
(c) Verify that (AUB)’ = (A’ ∩ B’)

AglaSem Earn while Learn Program. Send your papers and get paid.
Contact: support@

QUESTION PAPERS
GET PREVIOUS YEAR QUESTION PAPERS FOR ALL CLASSES FOR CBSE, ISCSE, ISC AND ALL ALL
STATE BOARDS HERE AT

Andhra Pradesh Board Question Papers
BOARD
WISE Assam Board Question Papers
Bihar Board Question Papers
Chhattisgarh Board Question Papers
Goa Board Question Papers
Gujarat Board Question Papers
Haryana Board Question Papers
Himachal Pradesh Board Question Papers
J&K State Board Question Papers
Jharkhand Board Question Papers
Karnataka Board Question Papers
Kerala Board Question Papers
Madhya Pradesh Board Question Papers
Maharashtra State Board Question Papers
Manipur Board Question Papers
Meghalaya Board Question Papers
Mizoram Board Question Papers
Nagaland Board Question Papers
Orissa Board Question Papers
Punjab Board Question Papers
Rajasthan Board Question Papers
Tamil Nadu Board Question Papers
Telangana State Board Question Papers
Tripura Board Question Papers
Uttarakhand Board Question Papers
Uttar Pradesh (UP) Board Question Papers
West Bengal (WB) Board Question Papers