10th Maths Unit 1: Relation and Function MCQs with Solutions

Multiple choice questions - Relation and Function | Mathematics

Mathematics: Relation and Function: Multiple choice questions with answers / choose the correct answer with answers - Maths Book back 1 mark questions and answers with solution for Exercise Problems.

Question 1

If \(n(A \times B) = 6\) and \(A = \{1, 3\}\) then \(n(B)\) is

• (1) 1
• (2) 2
• (3) 3
• (4) 6

Solution

Question 2

A = {a,b, p}, B = {2, 3}, C = {p,q,r,s} then \(n[(A \cup C) \times B]\) is

• (1) 8
• (2) 20
• (3) 12
• (4) 16

Solution

Question 3

If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true.

• (1) \((A \times C) \subset (B \times D)\)
• (2) \((B \times D) \subset (A \times C)\)
• (3) \((A \times B) \subset (A \times D)\)
• (4) \((D \times A) \subset (B \times A)\)

Solution

Question 4

If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

• (1) 3
• (2) 2
• (3) 4
• (4) 8

Solution

Question 5

The range of the relation \(R = \{(x, x^2) | x \text{ is a prime number less than 13}\}\) is

• (1) {2,3,5,7}
• (2) {2,3,5,7,11}
• (3) {4,9,25,49,121}
• (4) {1,4,9,25,49,121}

Solution

Question 6

If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is

• (1) (2, –2)
• (2) (5,1)
• (3) (2,3)
• (4) (3, –2)

Solution

Question 7

Let \(n(A) = m\) and \(n(B) = n\) then the total number of non-empty relations that can be defined from A to B is

• (1) \(m^n\)
• (2) \(n^m\)
• (3) \(2^{mn} – 1\)
• (4) \(2^{mn}\)

Solution

Question 8

If {(a, 8),(6,b)} represents an identity function, then the value of a and b are respectively

• (1) (8,6)
• (2) (8,8)
• (3) (6,8)
• (4) (6,6)

Question 9

Let A = {1, 2, 3, 4} and B = {4, 8, 9,10}. A function \(f: A \rightarrow B\) given by f = {(1, 4),(2, 8),(3, 9),(4,10)} is a

• (1) Many-one function
• (2) Identity function
• (3) One-to-one function
• (4) Into function

Question 10

If \(f(x) = 2x^2\) and \(g(x) = \frac{1}{3x}\) then \(f \circ g\) is

Ans: (3)

Solution

Question 11

If \(f: A \rightarrow B\) is a bijective function and if \(n(B) = 7\), then \(n(A)\) is equal to

• (1) 7
• (2) 49
• (3) 1
• (4) 4

Question 12

Let f and g be two functions given by

f = {(0,1),(2, 0),(3,−4),(4, 2),(5, 7)}

g = {(0, 2),(1, 0),(2, 4),(−4, 2),(7, 0)}

then the range of \(f \circ g\) is

• (1) {0,2,3,4,5}
• (2) {–4,1,0,2,7}
• (3) {1,2,3,4,5}
• (4) {0,1,2}

Solution

Question 13

Let \(f(x) = \) then

• (1) \(f(xy) = f(x).f(y)\)
• (2) \(f(xy) \geq f(x).f(y)\)
• (3) \(f(xy) \leq f(x).f(y)\)
• (4) None of these

Solution

Question 14

If g = {(1,1),(2, 3),(3, 5),(4, 7)} is a function given by \(g(x) = \alpha x + \beta\) then the values of a and b are

• (1) (–1,2)
• (2) (2, –1)
• (3) (–1, –2)
• (4) (1,2)

Solution

Question 15

\(f(x) = (x + 1)^3 - (x - 1)^3\) represents a function which is

• (1) linear
• (2) cubic
• (3) reciprocal
• (4) quadratic

Solution

Answers Summary

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