Class 11 Math - Relations and Functions - MERIT YARD
Class 11 Math - Relations and Functions - MERIT YARD
1 / 40If \( (x, y) = (2, 3) \).
Find the value of \( x \).
A) \( 3 \)
B) \( 5 \)
C) \( 2 \)
D) \( 0 \)
2 / 40If \( (x, y) = (2, 3) \).
Find the value of \( y \).
A) \( 2 \)
B) \( 3 \)
C) \( 5 \)
D) \( 0 \)
3 / 40If \( (x + 1, 5) = (3, 5) \).
Find the value of \( x \).
A) \( 1 \)
B) \( 3 \)
C) \( 4 \)
D) \( 2 \)
4 / 40If \( A = \{1\} \) and \( B = \{2\} \).
What is \( A \times B \)?
A) \( \{(1, 2)\} \)
B) \( \{1, 2\} \)
C) \( \{(2, 1)\} \)
D) \( \{3\} \)
5 / 40If \( n(A) = 2 \) and \( n(B) = 3 \).
Find the value of \( n(A \times B) \).
A) \( 5 \)
B) \( 1 \)
C) \( 6 \)
D) \( 8 \)
6 / 40If \( n(A \times B) = 15 \) and \( n(A) = 3 \).
Find the value of \( n(B) \).
A) \( 12 \)
B) \( 18 \)
C) \( 45 \)
D) \( 5 \)
7 / 40If set \( A = \emptyset \).
Then what is \( A \times B \)?
A) \( \emptyset \)
B) \( B \)
C) \( A \)
D) \( \{0\} \)
8 / 40Is \( A \times B \) always equal to \( B \times A \) for distinct sets?
A) Yes always
B) No
C) Only if B is empty
D) Cannot say
9 / 40A relation \( R \) from set \( A \) to set \( B \) is a subset of:
A) \( A \times B \)
B) \( A \cup B \)
C) \( A \cap B \)
D) \( A - B \)
10 / 40The set of all first elements in a relation \( R \) is called the:
A) Range
B) Codomain
C) Domain
D) Image
11 / 40The set of all second elements in a relation \( R \) is called the:
A) Domain
B) Pre-image
C) Codomain
D) Range
12 / 40The entire set \( B \) in a relation from \( A \) to \( B \) is called the:
A) Domain
B) Codomain
C) Range
D) Subset
13 / 40Find the domain of the relation:
\( R = \{(1, 2), (3, 4)\} \).
A) \( \{1, 3\} \)
B) \( \{2, 4\} \)
C) \( \{1, 4\} \)
D) \( \{2, 3\} \)
14 / 40Find the range of the relation:
\( R = \{(1, 2), (3, 4)\} \).
A) \( \{1, 3\} \)
B) \( \{1, 4\} \)
C) \( \{2, 4\} \)
D) \( \{2, 3\} \)
15 / 40If \( n(A) = 1 \) and \( n(B) = 2 \).
How many total relations are possible?
A) \( 2 \)
B) \( 3 \)
C) \( 1 \)
D) \( 4 \)
16 / 40A relation where every element of the domain has exactly one image is a:
A) Function
B) Empty set
C) Universal set
D) Equation
17 / 40If \( f(x) = x + 1 \).
Find the value of \( f(1) \).
A) \( 1 \)
B) \( 2 \)
C) \( 0 \)
D) \( 3 \)
18 / 40If \( f(x) = 2x \).
Find the value of \( f(3) \).
A) \( 5 \)
B) \( 2 \)
C) \( 6 \)
D) \( 9 \)
19 / 40If \( f(x) = x^2 \).
Find the value of \( f(2) \).
A) \( 2 \)
B) \( 6 \)
C) \( 8 \)
D) \( 4 \)
20 / 40If \( f(x) = 5 \) for all \( x \).
Find the value of \( f(10) \).
A) \( 10 \)
B) \( 5 \)
C) \( 50 \)
D) \( 15 \)
21 / 40If \( f(x) = x - 2 \).
Find the value of \( f(2) \).
A) \( 0 \)
B) \( 2 \)
C) \( 4 \)
D) \( -2 \)
22 / 40If \( f(x) = 3x \).
Find the value of \( f(-1) \).
A) \( 3 \)
B) \( 2 \)
C) \( -3 \)
D) \( -1 \)
23 / 40If \( f(x) = x^3 \).
Find the value of \( f(1) \).
A) \( 3 \)
B) \( 0 \)
C) \( -1 \)
D) \( 1 \)
24 / 40If \( f(x) = 10x \).
Find the value of \( f(0) \).
A) \( 0 \)
B) \( 10 \)
C) \( 1 \)
D) \( -10 \)
25 / 40If \( f(x) = \frac{x}{2} \).
Find the value of \( f(4) \).
A) \( 8 \)
B) \( 2 \)
C) \( 4 \)
D) \( 6 \)
26 / 40The function \( f(x) = x \) is mathematically known as the:
A) Modulus function
B) Constant function
C) Identity function
D) Signum function
27 / 40The function \( f(x) = 5 \) is mathematically known as a:
A) Identity function
B) Modulus function
C) Linear function
D) Constant function
28 / 40The function \( f(x) = |x| \) is mathematically known as the:
A) Signum function
B) Modulus function
C) Rational function
D) Constant function
29 / 40Find the exact value of \( |-3| \).
A) \( -3 \)
B) \( 0 \)
C) \( 3 \)
D) \( 1 \)
30 / 40Find the exact value of \( |5| \).
A) \( 5 \)
B) \( -5 \)
C) \( 0 \)
D) \( 1 \)
31 / 40The function \( f(x) = [x] \) represents the:
A) Modulus function
B) Signum function
C) Identity function
D) Greatest integer function
32 / 40Find the exact value of \( [2.1] \).
A) \( 3 \)
B) \( 2 \)
C) \( 2.1 \)
D) \( 1 \)
33 / 40Find the exact value of \( [3.9] \).
A) \( 3 \)
B) \( 4 \)
C) \( 3.9 \)
D) \( 0 \)
34 / 40The value of the signum function \( f(x) \) for \( x > 0 \) is always:
A) \( 0 \)
B) \( -1 \)
C) \( 1 \)
D) \( x \)
35 / 40The value of the signum function \( f(x) \) for \( x = 0 \) is always:
A) \( 1 \)
B) \( -1 \)
C) Not defined
D) \( 0 \)
36 / 40If \( f(x) = x \) and \( g(x) = 2 \).
Find the value of \( (f + g)(x) \).
A) \( x + 2 \)
B) \( 2x \)
C) \( x - 2 \)
D) \( x^2 \)
37 / 40If \( f(x) = x \) and \( g(x) = x \).
Find the value of \( (f - g)(x) \).
A) \( 2x \)
B) \( 0 \)
C) \( x^2 \)
D) \( 1 \)
38 / 40If \( f(x) = x \) and \( g(x) = x \).
Find the value of the product \( (f \cdot g)(x) \).
A) \( 2x \)
B) \( 1 \)
C) \( x^2 \)
D) \( 0 \)
39 / 40What is the domain of a polynomial function like \( f(x) = x^2 + 1 \)?
A) Only positive numbers
B) Only negative numbers
C) Only integers
D) Real numbers \( \mathbb{R} \)
40 / 40For the quotient function \( \frac{f(x)}{g(x)} \), what is the necessary condition?
A) \( f(x) = 0 \)
B) \( g(x) \neq 0 \)
C) \( g(x) = 1 \)
D) \( f(x) \neq 0 \)
Test Analysis

Correct ✅ 0

Wrong ❌ 0

Unattempted ⚠️ 40

Accuracy 🎯 0%

Time Taken ⏱️ 00m 00s

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