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Class XI Math Exam Paper

This document is an examination paper for Class XI Mathematics, consisting of multiple-choice questions, short answer questions, and long answer questions. It covers various mathematical concepts including set theory, functions, trigonometry, and permutations. The paper is divided into three sections with a total of 40 marks and a time limit of 1 hour and 30 minutes.

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gokuldhamappartment2022
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53 views1 page

Class XI Math Exam Paper

This document is an examination paper for Class XI Mathematics, consisting of multiple-choice questions, short answer questions, and long answer questions. It covers various mathematical concepts including set theory, functions, trigonometry, and permutations. The paper is divided into three sections with a total of 40 marks and a time limit of 1 hour and 30 minutes.

Uploaded by

gokuldhamappartment2022
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Class- XI

Sub-Math F.M.- 40 Time- 1hr 30mins


Sec-A[MCQ Type]
1. Choose the correct answer .[ 12x1=12]
i) If A-B=B-A then A and B are ____________

A={1,2,3}, B={2,3,4}, C={2,3,5}, D={1,3,5,7}. Find (A∩B) ∪ (C∩D)-----a) A; b) B; c) C; d) D


a) equivalent sets; b) equal sets; c) disjoint sets; d) empty sets
ii)
iii) If A={1,4,8,9} and B={1, 2, -1, -2, -3, 3,5} and R is a relation from set A to set B {(x, y): x=y2}. Find co-
domain of the relation.-------a) {1,4,9}; b) {-1,1, -2,2, -3,3}; c) {1,4,8,9}; d) {-1,1, -2,2, -3,3,5}
iv) f(x) = {|x|/x for x≠0
and 0 for x=0}. Which function is this?
a) Constant ; b) Modulus; c) Identity; d) Signum function
v) The second hand of the watch is 2 cm long. How far the tip will move in 40 seconds?
a) 6.28 cm; b) 12.56 cm; c) 3.14 cm; d) 1.57 cm
vi) If tan x=1/√3, then sin 2x =___________________a) 1/√ 2; b)1/2 ; c) √ 3/2; d) 1
vii) cos 75° – cos 15° =___________________a) √3/√2 ; b) √2/√3 ; c) 1/√2 ; d) –1/√2
viii) If nP3 = 4*nP2. Find n.------------a) 3; b) 2; c) 6; d) 5
ix) In how many ways 2 red pens, 3 blue pens and 4 black pens can be arranged if same color pens are
indistinguishable?------------a) 362880; b) 1260; c) 24; d) 105680
x) Determine n if 2nC3: nC3 = 9:1.-------------a) 7; b) 14; c) 28; d) 32
xi) In a family, 5 males and 3 females are there. In how many ways we can select a group of 2 males and 2
females from the family?------------a) 3; b) 10; c) 30; d) 40
xii) What is the coefficient of x2y2 in (x + 1)2 . (x + 1)3?------------a) 1; b) 5; c) 2; d) 10
Sec-B

A = {1, 2, {3, 4}, 5} which is incorrect and why. (i) {3, 4}⊂ A (ii) {3, 4} ∈ A.
2. Answer the following questions:-[ 4x2 =8]
i)
1
ii) Find the domain and range of the function, f (x) = 2
1−x
z 1 z2
iii) Let z1 = 2 – i, z2 = -2+I, Find Re ( )
conj z 1
iv) Find the coeff of x5 in (x+ 1/x)9.
Sec-C
3. Answer the following questions:- [5x4 =20]
i) Using binomial theorem, prove that 6n-5n always leaves remainder 1 when divided by 25.
ii) In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come
together?
OR How many 4 letter code can be formed using the first 10 letters of the English alphabet if no letter can
be repeated?
n! n!
iii) Find n; if and are in the ratio 2:1.
2! (n−2)! 4 ! (n−4)!
sin 5 x−2sin 3 x +sin x
iv) Prove that = tan x
cos 5 x −cos x
OR Prove that Cot 4x (Sin 5x + Sin 3x) = Cot x (Sin 5x – Sin 3x)
v) Solve graphically 4x+3y ≤ 60, y≥ 2x, x≥3, x,y≥0.

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