Test: Relations & Functions- Case Based Type Questions - Commerce MCQ

# Test: Relations & Functions- Case Based Type Questions - Commerce MCQ

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## 10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Relations & Functions- Case Based Type Questions

Test: Relations & Functions- Case Based Type Questions for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Relations & Functions- Case Based Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Relations & Functions- Case Based Type Questions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Relations & Functions- Case Based Type Questions below.
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Test: Relations & Functions- Case Based Type Questions - Question 1

### A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example: A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y. The relation defined in the above arrow diagram from set P to set Q is

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 1

When x = 9, y = ±3

When x = 4, y = ±2

When x = 25, y = ±5

∴ x is a square of y.

Test: Relations & Functions- Case Based Type Questions - Question 2

### A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example: A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y. Which among the above figures shows a Relation between the two non - empty sets?

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 2

Figures A and B show relations. Figure C shows a function but not a relation.

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Test: Relations & Functions- Case Based Type Questions - Question 3

### A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example: A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y. The relation defined in the above arrow diagram from set A to set B is

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 3

1,2,4 and 8 are factors of 8.

Test: Relations & Functions- Case Based Type Questions - Question 4

A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:

A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.

If the number of elements in set A and set B are p and q, then the number of relations from A to B are

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 4
Number of relations from A to B is 2n(A)n(B) =2pq.
Test: Relations & Functions- Case Based Type Questions - Question 5

A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:

A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.

If the number of elements in set A and set B are p and q then the number of functions from A to B are

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 5
Number of functions from A to B n(B)n(A) = qp
Test: Relations & Functions- Case Based Type Questions - Question 6

Consider the graphs of the functions f(x), h(x) and g(x).

The domain of f(x) is ..................

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 6

f(x) = |x|. The domain of f(x) is R.

Test: Relations & Functions- Case Based Type Questions - Question 7

Consider the graphs of the functions f(x), h(x) and g(x).

The range of g(x) is ................

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 7

g(x) is the signum function. Its range is {–1, 0, 1}.

Test: Relations & Functions- Case Based Type Questions - Question 8

Consider the graphs of the functions f(x), h(x) and g(x).

The range of h(x) is .......................

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 8

h(x) = [x] is the greatest integer function. Its range is Z (set of integers)

Test: Relations & Functions- Case Based Type Questions - Question 9

Consider the graphs of the functions f(x), h(x) and g(x).

The value of h(–2.3) is ...................

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 9

h(–2.3) = [–2.3] = –3

Test: Relations & Functions- Case Based Type Questions - Question 10

Consider the graphs of the functions f(x), h(x) and g(x).

The value of f(10) is ...................

Detailed Solution for Test: Relations & Functions- Case Based Type Questions - Question 10

Since 10 > 0, f(10) = 10.

## Mathematics (Maths) Class 11

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## Mathematics (Maths) Class 11

75 videos|238 docs|91 tests