Class 11th maths notes
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If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}, then A' is:
Anonymous Quiz
20%
{1, 3, 5, 7, 9}
70%
{2, 4, 6, 8, 10}
6%
U
3%
Φ
❤4
Which of the following is the correct representation for (A U B)'?
Anonymous Quiz
38%
A' U B'
45%
A' ∩ B'
11%
A ∩ B'
6%
A' U B
❤4
If A and B are two sets such that n(A) = 70, n(B) = 60 and n(A U B) = 110, then n(A ∩ B) is equal to:
Anonymous Quiz
27%
240
57%
20
13%
40
3%
50
Let S be the set of all straight lines in a plane. The relation R defined on S by 'l R m if l is perpendicular to m' is:
Anonymous Quiz
18%
Reflexive
45%
Symmetric
23%
Transitive
15%
An equivalence relation
❤2
If A = {1, 2, 3}, then the number of proper subsets is:
Anonymous Quiz
37%
8
29%
7
26%
6
7%
5
❤3
In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. How many people speak only English?
Anonymous Quiz
26%
10
48%
15
13%
20
14%
25
❤3
For any two sets A and B, A - B is equal to:
Anonymous Quiz
40%
A ∩ B'
27%
A' ∩ B
19%
A ∩ B
13%
A U B'
❤3🥰1
❤5
If A and B are disjoint sets, then n(A U B) is equal to:
Anonymous Quiz
47%
n(A) + n(B)
33%
n(A) + n(B) - n(A ∩ B)
12%
n(A) * n(B)
8%
0
❤3
If A, B, C are any three sets, then A × (B U C) is equal to:
Anonymous Quiz
47%
(A × B) U (A × C)
28%
(A U B) × (A U C)
18%
(A × B) ∩ (A × C)
7%
None of these
❤2👍1
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If A = {1, 2} and B = {3, 4}, then the number of relations from A to B is:
Anonymous Quiz
51%
4
17%
8
28%
16
4%
6
❤3
Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is:
Anonymous Quiz
27%
Reflexive and symmetric
28%
Transitive and symmetric
38%
Reflexive, transitive but not symmetric
7%
Equivalence relation
The domain of the function f(x) = √(9 - x²) is:
Anonymous Quiz
46%
[-3, 3]
29%
(-∞, -3]
20%
[3, ∞)
4%
(-∞, ∞)
❤1
The range of the function f(x) = |x| is:
Anonymous Quiz
34%
R
46%
[0, ∞)
15%
(0, ∞)
6%
(-∞, 0]
If f(x) = x² and g(x) = 2x + 1, then (f + g)(2) is:
Anonymous Quiz
22%
8
53%
9
22%
5
3%
7
❤2
Let R be a relation from a set A to a set B. Then:
Anonymous Quiz
36%
R = A U B
23%
R = A ∩ B
38%
R ⊆ A × B
3%
R ⊆ B × A
❤2