Let R be a relation in N defined by R={(1 + x, 1 + x 2 ) / x < 5, x ϵ N} which of the following is false ?

R = {(2,2), (3,5), (4,10), (5,17), (6,25)}

A Relation R is defined in the set of integers I as follows (x,y) ϵ R if x 2+ y 2 = 9 which of the following is false ?

R = {(0,3), (0,-3), (3,0), (-3,0)}

S1 is not a graph of a function

S2 is not a graph of a functicn

S3 is not a graph of a function

S41 is not a graph of a function

The relation R defined on the let A = {1,2,3,4,5} by R = {(x, y) / | x 2 - y 2 | < 16} is given by

{(1,1), (2,1), (3,1), (4,1), (2,3)}

JEE Questions for Maths Sets Relations And Functions Quiz 8

Maths-Sets Relations and Functions-50027.png

0%
0%
2)
0%
1
0%
–1

The inverse of the function f(x) = log₁₀ x is

0%
10 x
0%
x10
0%
e10
0%
e x

Maths-Sets Relations and Functions-50032.png

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50038.png

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50044.png

0%
0%
1
0%
0%

With reference to a universal set, the inclusion of a subset in another, is relation, which is

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Symmetric only
0%
Equivalence relation
0%
Reflexive only
0%
None of these

Let R and S be two non – void relations on a set A. which of the following statements is false

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R and S are transitive ⇒ R ∪ S is transitive
0%
R and S are transitive ⇒ R ∩ S is transitive
0%
R and S are symmetric ⇒ R ∪ S is symmetric
0%
R and S are reflaxive ⇒ R ∩ S is reflexive

Two finite sets have m and n element respectively The total number of subsets of first set is 112 more than the total number of sub sets of the second set The value of m and n respectively are

0%
5,2
0%
4,7
0%
7,4
0%
2,5

A survey shows that 70% of the Indian like mango wheres 82% like apple. If x% of Indian like both mango and apples then

0%
x = 52
0%
52 ≤ x ≤ 70
0%
x = 70
0%
70 ≤ x ≤ 82

If X ∪ {3,4} = {1,2,3,4,5,6} the which of the following is true

0%
Smallest set X = {1,2,5,6}
0%
Smallest set X= {1,2,3,5,6}
0%
Smallest set X= {1,2,3,4}
0%
Greatest set X= {1,2,3,4}

If two sets A and B are having 43 elements in comman, then the number of elements common to each of the sets A × B and B × A is

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432
0%
243
0%
4343
0%
286

In a certain town 30% families own a scooter and 40% on a car 50% own neither a scooter nor a car 2000 families own both a scooter and car consider the following statements in this regard
20% families own both scooter and car
35% families own either a car or a scooter
10000 families live in town Which of the above statement are correct ?

0%
2 and 3
0%
1,2 and 3
0%
1 and 2
0%
1 and 3

Maths-Sets Relations and Functions-50052.png

0%
A = B
0%
A ⊂ B
0%
A ≠ B
0%
B ⊂ A

Maths-Sets Relations and Functions-50054.png

0%
162
0%
36
0%
60
0%
120

There are three-three sets are given in column-A and column-B
Maths-Sets Relations and Functions-50056.png

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1-A 2-B, 3-C
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1-B, 2-A, 3-C
0%
1-B, 2-C, 3-A
0%
1-A, 2-C, 3-B

Maths-Sets Relations and Functions-50058.png

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100
0%
120
0%
140
0%
40

If U = {1,2,3} and A = {1,2} then [P(A)]\' = ..............

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{{3}, {2,3}, {1,3}, {1,2}, ϕ }
0%
{{3}, {2,3}, {1,3}, {1,2,3} }
0%
{{3}, {2,3}, {1,3}, {1,2,3}, ϕ}
0%
{{3}, {2,3}, {1,3}, {1,2}}

Maths-Sets Relations and Functions-50061.png

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ϕ
0%
2)
0%
0%

Maths-Sets Relations and Functions-50066.png

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0%
2)
0%
0%

Let A = {(x,y) : y = e^x , x ϵ R}, B = {(x,y) : y = e^-x , x ϵ R} then

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A ∩ B = ϕ
0%
A ∩ B = ϕ
0%
A ∪ B = R
0%
A ∪ B = A

Let R be a relation in N defined by R={(1 + x, 1 + x² ) / x < 5, x ϵ N} which of the following is false ?

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R = {(2,2), (3,5), (4,10), (5,17), (6,25)}
0%
Domain of R = {2,3,4,5,6}
0%
Range of R = {2,5,10,17,26}
0%
(and (are true

The relation ≤ on numbers has the following properties.
(i) a ≤ a ∀ a ϵ R (Reflexivity)
(ii) If a ≤ b and b ≤ a then a = b ∀ a, b ϵ R (Antisymmetry)
(iii) If a ≤ b and b ≤ c then a ≤ c ∀ a, b ϵ R (Transitivity)
Which of the above properties the relation ⊂ on p(A) has ?

0%
(i) and (ii)
0%
(i) and (iii)
0%
(ii) and (iii)
0%
(i), (ii) and (iii)

A Relation R is defined in the set of integers I as follows (x,y) ϵ R if x 2+ y² = 9 which of the following is false ?

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R = {(0,3), (0,-3), (3,0), (-3,0)}
0%
Domain of R = {-3,0,3}
0%
Range of R = {-3,0,3}
0%
None of the above

Let R be the real line consider the following subsets of the plane R × R ,S = {(x, y) / y = x + 1 and 0 < x < 2}, T = {(x, y) / x - y is an integer}.Which one of the following is true ?

0%
T is an equivalence relation on R but S is not.
0%
Neither S nor T is an equivalance relation on R
0%
Both S and T are equivalence relations on R
0%
S is an equivalence relation on R but T is not.

Let W denotes the words in the English dictionary Define the relation R by R = {(x, y) ϵ W × W the ward x and y have at least one letter in comman} Then R is

0%
Not reflexive, symmetric and transitive
0%
Reflexive, symmetric and not transitive
0%
Reflexive, symmetric and transitive
0%
Reflexive, not symmetric and transitive

Which one of the following relations on R is an equivalence relation ?

0%
0%
2)
0%
0%

Which of the following defined on Z is not an equivalence relation.

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50087.png

0%
S1 is not a graph of a function
0%
S2 is not a graph of a functicn
0%
S3 is not a graph of a function
0%
S41 is not a graph of a function

The relation R defined on the let A = {1,2,3,4,5} by R = {(x, y) / | x² - y² | < 16} is given by

0%
{(1,1), (2,1), (3,1), (4,1), (2,3)}
0%
{(2,2), (3,2), (4,2), (2,4)}
0%
{(3,3), (4,3), (5,4), (3,4)}
0%
None of these

Maths-Sets Relations and Functions-50089.png

0%
[5,9]
0%
(5,9]
0%
0%

Maths-Sets Relations and Functions-50093.png

0%
199
0%
201
0%
202
0%
200

Maths-Sets Relations and Functions-50095.png

0%
0%
x
0%
0%

Maths-Sets Relations and Functions-50100.png

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50106.png

0%
5
0%
8
0%
0
0%
10

Maths-Sets Relations and Functions-50108.png

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50114.png

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50120.png

0%
Statement 1is true
0%
Statement 2 is true
0%
1 and 2 both are true
0%
1 and 2 both are false

Maths-Sets Relations and Functions-50122.png

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(2,4)
0%
(-2,4)
0%
[2,4)
0%
[-2,4)

Maths-Sets Relations and Functions-50124.png

0%
0%
2)
0%
1
0%
-1

Let f : R → R, g : R →R be two functions such that f(x) = 2x - 3, g(x) = x³ + 5.The function (fog)^-1 (x) is equal to

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50133.png

0%
1
0%
2
0%
-2
0%
-1

Maths-Sets Relations and Functions-50135.png

0%
f(x) + f(y)
0%
f(x) f(y)
0%
f(x)/f(y)
0%
2 f(x) ∙ f(y)

Maths-Sets Relations and Functions-50137.png

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50143.png

0%
0%
2)
0%
0%

A function f : R →R satisfies the equation f(x)f(y)-f(x y) = x + y for all x,y ∈ R and f(> 0, then

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50154.png

0%
0%
2)
0%
0%

Maths-Sets Relations and Functions-50160.png

0%
[4,12]
0%
[0,3]
0%
0%

Maths-Sets Relations and Functions-50164.png

0%
[-4,3]
0%
[-4,4]
0%
[0,3]
0%
[0,4]

Maths-Sets Relations and Functions-50165.png

0%
{1,2,3}
0%
{2,3}
0%
{2,3,4}
0%
{2,3,4,5}

Let X = {a,b,c,d} then one - one mapping f : X → X such that f(a) = a, f(b) ≠ b, f(d) ≠ d are given by
(i) {(a,a), (b,c), (c,d), (d,b)}
(ii) {(a,a,), (b,d), (c,c), (d,b)}
(iii) {(a,a), (b,d), (c,b), (d,c)}

0%
only (i) is true
0%
(i) & (ii) is true
0%
(i), (ii) and (iii) are true
0%
only (iii) is true

JEE Questions for Maths Sets Relations And Functions Quiz 8 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Sets Relations And Functions Quiz 8 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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