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TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A
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TN 11th Tamil என்னுயிர் என்பேன் -துணைப்பாடம் - இசைத்தமிழர் இருவர் Important Questions And Answers Study Material - QB365 Set A
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TN 11th Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365 Set A
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TN 11th Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365 Set A
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TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
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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 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
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