Read and download free pdf of CBSE Class 12 Mathematics Relations And Functions Worksheet Set A. Download printable Mathematics Class 12 Worksheets in pdf format, CBSE Class 12 Mathematics Chapter 1 Relations and Functions Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 12 Assignments and practice them daily to get better marks in tests and exams for Class 12. Free chapter wise worksheets with answers have been designed by Class 12 teachers as per latest examination pattern

## Chapter 1 Relations and Functions Mathematics Worksheet for Class 12

Class 12 Mathematics students should refer to the following printable worksheet in Pdf in Class 12. This test paper with questions and solutions for Class 12 Mathematics will be very useful for tests and exams and help you to score better marks

### Class 12 Mathematics Chapter 1 Relations and Functions Worksheet Pdf

CBSE Class 12 Mathematics Relations And Functions Worksheet Set A

MORE QUESTIONS

**RELATIONS AND FUNCTIONS**

**1. Let R be a relation defined as R = { (x,y) : x and y study in the same class}. Show that R is an equivalence relation.**

**If x is a brilliant student and y is a slow learner and x helps y in his studies, what quality does x possess?**

Expected answers:

• Concern about fellow students

• Helping others

• Sharing of knowledge

• Empathy

**2. Consider the functions f and g,f: {1, 2, 3} → {a, b, c} and g: {a, b, c} {punctuality, honesty, sincerity} defined as f(1) = a, f(2) = b, f(3) = c, g(a) = punctuality, g(b) = honesty, g(c) = sincerity. Show that f, g, gof are invertible. If a, b, c are three students who are awarded prizes for the three values given in the function g, which value would you prefer to be rewarded and why?**

Expected answers: An answer with any of the three values with proper reasoning is correct.

**3. Show that the function f : defined by f(x) = 3x + 4 is an invertible function.**

**If x represents the number of systematic hours of study that a student puts in and f(x) represents the marks scored by him, from the graph of the above function, which value will be rewarded?**

Expected answers:

• Systematic study

• Quality of hard work

• Study habit

• Time management

**4. Let L be the set of all the lines in a plane and R be the relation in L defined by**

**R = { L _{1},L_{2},L_{3} | | L_{2} }. Show that R is an equivalence relation.**

**L _{1 }represents the ideologies of Gandhiji and represents the ideologies of NetajiSubhash Chandra Bose. Even though their ideaologies ran on parallel tracks, both had the common goal to achieve independence for India. Which common value did they both exhibit?**

Expected answer:

• Patriotisim

•Sacrifice

• Pride in our country

• Leadership

**5. Let Xbe a non-empty set. Let be a binary operation on the power set P(X) defined by A * B = A Ú B . Prove that * is commutative and associative. What is the identity element for the operation *?**

**If X is a set of people in a locality, A is a set of children and B is a set of citizens aged above 75 years in the same locality, is a * binary operation for these sets as defined above?**

**What qualities would you suggest that elements of A should have**

**towards elements of B?**

Expected answer:

• Respect for elders

• Concern for the aged

• Lending a helping hand

**6. Consider a relation R in the set A of people in a colony. Defined as aRb iff a and b are members of joint family. Is R is an equivalence relation?**

VBQ : Staying with Grand parents in a joint family imbibes the moral values in us. Can you elicit 2 such values.

(a) Love and concern for grandparents

(b) Respect for Group parents

(c) Tolerance

CBSE Class 12 Mathematics Integrals Worksheet Set A |

CBSE Class 12 Mathematics Integration Worksheet |

## More Study Material

### CBSE Class 12 Mathematics Chapter 1 Relations and Functions Worksheet

The above practice worksheet for Chapter 1 Relations and Functions has been designed as per the current syllabus for Class 12 Mathematics released by CBSE. Students studying in Class 12 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 12 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 12 Mathematics students to get all the latest study material free of cost.

### Worksheet for Mathematics CBSE Class 12 Chapter 1 Relations and Functions

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**Chapter 1 Relations and Functions worksheet Mathematics CBSE Class 12**

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**Chapter 1 Relations and Functions CBSE Class 12 Mathematics Worksheet**

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**Worksheet for CBSE Mathematics Class 12 Chapter 1 Relations and Functions**

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