11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil என்னுயிர் என்பேன் -துணைப்பாடம் - இசைத்தமிழர் இருவர் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set A
Published on: 23/08/2019
Sets, Relations and Functions
Download Tamil Nadu 11th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
If A and B are any two finite sets having m and n elements respectively then the cardinality of the power set of A \(\times\) B is ___________
2m
2n
mn
2mn
2.
For any four sets A, B, C and D, which of the following is not true?
A x C ⊂ B x D
(A x B) ∩ (C x D) = (A ∩ C) x (B ∩ D)
A x (B U,C) = (A x B) U (A x C)
A x (B ∩ C) = (A x B) ∩ (A x C)
3.
Which one of the following is not a singleton set?
A = {x : 3x - 5 = 0, x ∈ Q}
B = {| x | = 1 / x ∈ Z}
{x : x3 - 1 = 0, x ∈ R}
{x : 30x = 60, x ∈ N}
4.
Which one of the following is false?
A⋂(BΔ\C) = (A ⋂ B)Δ(A ∩ C)
A∩(B - C) = (A ∩B) \ (A∩C)
(A U B), = A' ∩ B'
(A \ B) U B = A ⋂ B
5.
If A = {1, 2}, B = {1, 3} then n(A x B) = ___________
2
4
8
0
6.
If f(x) = 1 - x, x ∈ [- 3, 3] then the domain off is ___________
[- 2,3]
(- 2,3)
(- 3, -2)
[-2, 3)
7.
The domain of the function \(f(x)=\sqrt{ x - 5 }+ \sqrt{6 - x}\) is
[5, ∞)
(- ∞, 6)
[5, 6]
(-5, ≠6)
8.
Which one of the following statements is false? The graph of the function \(f(x)={1\over x}\)
exist is the first and third quadrant only
is a reciprocal function
is defined at x = 0
it is symmetric about y = x and y = - x.
9.
If \(f:[-2,2]\rightarrow A\) is given by f(x) = 33 then f is onto, if A is ___________
[3, 3]
(3, 3)
[-24,24]
(-24, 24)
10.
Let X = {a, b,c},y = (1, 2, 3) then \(f:x\rightarrow y\) given by (a, 1) (b, 1) (c, 1) is called ___________
onto
constant function
one one
bijective
11.
The rule f(x) = x2 is a bijection if the domain and the co-domain are given by
R, R
R, (0, ∞)
(0, ∞), R
[0, ∞), [0,∞)
12.
The range of the function \({1\over 1-2sinx}\) is
\((-∞,-1)\cup\left( {1\over 3},\infty\right)\)
\(\left( -1,{1\over 3}\right)\)
\(\left[ -1,{1\over 3}\right]\)
\((-∞,-1]\cup [\frac { 1 }{ 3 } ,∞)\)
13.
Let R be the universal relation on a set X with more than one element. Then R is
not reflexive
not symmetric
transitive
none of the above
14.
If two sets A and B have 17 elements in common, then the number of elements common to the set A \(\times\)B and B \(\times\)A is
217
172
34
insufficient data
15.
If n((A \(\times\) B) ∩(A \(\times\) C)) = 8 and n(B ∩ C) = 2, then n(A) is
6
4
8
16
16.
Let A and B be subsets of the universal set N, the set of natural numbers. Then A'∪[(A⋂B)∪B'] is
A
A'
B
N
17.
The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x2+y2| ≤ 2, then which one of the following is true?
R = {(0,0), (0,-1), (0, 1), (-1, 0), (-1, 1), (1, 2), (1, 0)}
R-1 = {(0,0), (0,-1), (0, 1), (-1, 0), (1, 0)}
Domain of R is {0,-1, 1, 2}
Range of R is {0,-1, 1}
18.
If A = {(x,y) : y = ex, x∈R} and B = {(x,y) : y = e-x, x ∈ R} then n(A∩B) is
Infinity
0
1
2
19.
Which of the following is not an equivalence relation on z?
aRb ⇔ a+b is an even integer
aRb ⇔ a-b is an even integer
aRb ⇔ a
aRb ⇔ a=b
20.
Let R be the relation over the set of all straight lines in a plane such that l1Rl2 ⇔ l1丄l2 . Then R is __________
symmetric
reflexive
transitive
an equivalent relation
21.
Let R be a relation on the set N given by R = {(a,b) : a = b - 2, b > 6}. Then ____________
(2,4)∈R
(3,8)∈R
(6,8)∈R
(8,7)∈R
22.
If A⊆B, then A\B is ________
B
A
Ø
\(\frac{B}{A}\)
23.
The function f:R➝R be defined by f(x) = sinx + cosx is
an odd function
neither an odd function nor an even function
an even function
both odd function and even function
24.
If the function f:[-3,3]➝S defined by f(x) = x2 is onto, then S is
[-9,9]
R
[-3,3]
[0,9]
25.
The number of constant functions from a set containing m elements to a set containing n elements is
mn
m
n
m+n
1.
(d)
2mn
2.
(a)
A x C ⊂ B x D
3.
(b)
B = {| x | = 1 / x ∈ Z}
4.
(d)
(A \ B) U B = A ⋂ B
5.
(b)
4
6.
(a)
[- 2,3]
7.
(c)
[5, 6]
8.
(c)
is defined at x = 0
9.
(c)
[-24,24]
10.
(b)
constant function
11.
\(\text { The domain is }[0, \infty)\)
\(\text { The codomain is also }[0, \infty)\)
12.
\(-1 \leq \sin x \leq 1 \)
\(-2 \leq 2 \sin x \leq 2 \)
\(2 \geq-2 \sin x \geq-2 \)
\(-2 \leq-2 \sin x \leq 2 \)
Adding 1,
\(1-2 \leq 1-2 \sin x \leq 1+2 \)
\(-1 \leq 1-2 \sin x \leq 3 \)
\(-1 \geq \frac{1}{1-2 \sin x} \geq \frac{1}{3} \)
\(\frac{1}{3} \leq \frac{1}{1-2 \sin x} \leq-1 \)
\(\therefore \text { Range is }(-\infty,-1] \cup\left[\frac{1}{3}, \infty\right)\)
13.
Let X = (a,b,c)
Then R = Universal relation
= {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c)}.
It is transitive
14.
Let A = {1, 2,3,4,8} = {5, 2,3,6}
A and B have two elements in common.
Number of elements common to A \(\times\) B and B x A = 2 \(\times\)2 = 22
Similarly here we have 172 element in common
15.
\((A \times B) \cap(A \times C) =A \times(B \cap C) \)
\(n[(A \times B) \cap(A \times C)] =n(A) \times n(B \cap C) \)
\(\Rightarrow 8 =n(A) \times 2 \Rightarrow n(A)=4 \)
16.
17.
\(\text { Since }\left|x^{2}+y^{2}\right|<2, x, y \text { must be } 0,1,-1 \text {. }\)
18.
\(n(A \cap B)=1\)
19.
(c)
aRb ⇔ a
20.
(a)
symmetric
21.
(c)
(6,8)∈R
22.
(c)
Ø
23.
\(f(x) =\sin x+\cos x \)
\(f(-x) =\sin (-x)+\cos (-x) \)
\(=-\sin x+\cos x \)
\(-f(-x) =\sin x-\cos x \)
\(f(x) \neq-f(-x) \)
f(x) is neither odd function nor even function.
24.
f(0) = 0, f(-3) = 9 and f(3) = 9
.'. S is [0,9]
25.
(c)
n
11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set A
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TN 11th Tamil மாமழை போற்றுதும் - செய்யுள் - ஐங்குறுநூறு Important Questions And Answers Study Material - QB365 Set A
Tamilnadu Stateboard 11th Standard Subjects
Maths
Commerce
Economics
Biology
Business Maths and Statistics
Accountancy
Computer Science
Physics
Chemistry
Maths
Biology
Economics
Physics
Chemistry
History
Business Maths and Statistics
Computer Science
Accountancy
Computer Applications
History
Computer Technology
Commerce
Computer Applications
Computer Technology
Tamil
English
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Tamilnadu Stateboard Standards
