Learn Maths Relations and functions , Class 11 Maths Relations and functions Exercise, Free Online Relations and functions Lessons

Class 11 Maths Study Material

An Educational platform for Preparation and Practice Class 11. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 11. This study material help Class 11, Maths students in learning every aspect of Relations and functions . Students can understand Relations and functions concept easily and consolidate their learning by doing Online Practice Tests on Maths,Relations and functions chapter repeatedly till they excel in Class 11, Relations and functions . Free ONLINE PRACTICE TESTS on Class 11, Relations and functions comprise of Hundreds of Questions on Relations and functions , prepared by the highly professionals team. Every repeat test of Relations and functions will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Relations and functions . Attempt ONLINE TEST on Class 11,Maths,Relations and functions in Academics section after completing this Relations and functions Question Answer Exercise.

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Relations and functions

If (a, b) =(x, y), then

a) A = x and b = y.
b) A = y and b = x
c) A=0
d) None of the above

✔Answer

Correct Answer Is : A = x and b = y.

Solution Is :

If A = {4,5} and B = {6,8} then BXA is

a) {(6,4), (6,5), (8,4), (8,5)}
b) {(6,4), (6,5), (8,5)}
c) {5,6,7,8}
d) {4,5,8,6}

✔Answer

Correct Answer Is : {(6,4), (6,5), (8,4), (8,5)}

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is half of” on A. Then the range of R is

a) {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
b) {2,4,6,8,10,12,18,20,22,24,26,28,30}
c) {15}
d) None of the above

✔Answer

Correct Answer Is : {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

Solution Is :

If n(A)=3, n(B)=3 . What is the total number of relations from A to B?

a) 2^9
b) 2^0
c) 2^6
d) 2^1

✔Answer

Correct Answer Is : 2^9

Solution Is :

The two ordered pairs (a, b) and (c, d) are said to be equal if and only if ______

a) A = c and b = d.
b) A = b and c = d.
c) A*b=c*d
d) All of the above

✔Answer

Correct Answer Is : A = c and b = d.

Solution Is :

If X = {1, 2, 3, 4}, Y = {1, 2, 3,...., 20}, and f: X Y be the correspondence which assigns each element in X the value equal to its square, then the domain, co-domain and range of f is

a) Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 20}
b) Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 16}
c) Domain = {1, 4, 9, 16}, Range = {1, 2, 3, 4}, Co domain = {1, 2, 3, ..., 16}
d) Domain = {1, 2, ..., 20}, Range = {1, 2, 3, 4}, Co domain = {1, 2, 3, 4}

✔Answer

Correct Answer Is : Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 20}

Solution Is :

____________ is the set of all the inputs of the relation.

a) The domain
b) The relation
c) The codomain
d) The range

✔Answer

Correct Answer Is : The domain

Solution Is :

If (x+2,y-2)=(2,8) then x and y =

a) x = 10, y=10
b) x=0 ,y=10
c) x = 10, y = 0
d) x=3,y=10

✔Answer

Correct Answer Is : x=0 ,y=10

Solution Is :

If any of the sets A or B is infinite, then A × B is also an ______

a) Orders set
b) Infinite set
c) Empty set
d) None of the above

✔Answer

Correct Answer Is : Infinite set

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is one-third of” on A. Then the range of R is

a) {0,3,6,9,12,15,18,21,24,27,30}
b) {3,6,9,12,15,18,21,24,27,30}
c) {3,6,9,12,15,18,21,24,27,30,33}
d) {3,6,9,12,15,21,24,27,30}

✔Answer

Correct Answer Is : {3,6,9,12,15,18,21,24,27,30}

Solution Is :

❑Permutations and Combinations
❑Sets and their representations
❑statistics
❑Mathematical Induction
❑mathematical reasoning
❑Binomial Theorem
❑Calculus
❑Three Dimensional Geometry
❑Conic Sections
❑Straight Lines
❑Sequence and Series
❑Linear Inequalities
❑Complex numbers and Quadratic equations
❑Relations and functions
❑Trigonometric function
❑Probability

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Class 11 Maths Study Material

Relations and functions

If (a, b) =(x, y), then

Correct Answer Is : A = x and b = y.

Solution Is :

If A = {4,5} and B = {6,8} then BXA is

Correct Answer Is : {(6,4), (6,5), (8,4), (8,5)}

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is half of” on A. Then the range of R is

Correct Answer Is : {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

Solution Is :

If n(A)=3, n(B)=3 . What is the total number of relations from A to B?

Correct Answer Is : 2^9

Solution Is :

The two ordered pairs (a, b) and (c, d) are said to be equal if and only if ______

Correct Answer Is : A = c and b = d.

Solution Is :

If X = {1, 2, 3, 4}, Y = {1, 2, 3,...., 20}, and f: X Y be the correspondence which assigns each element in X the value equal to its square, then the domain, co-domain and range of f is

Correct Answer Is : Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, ..., 20}

Solution Is :

____________ is the set of all the inputs of the relation.

Correct Answer Is : The domain

Solution Is :

If (x+2,y-2)=(2,8) then x and y =

Correct Answer Is : x=0 ,y=10

Solution Is :

If any of the sets A or B is infinite, then A × B is also an ______

Correct Answer Is : Infinite set

Solution Is :

Let A = {1, 2, 3, …, 30} and R be the relation “is one-third of” on A. Then the range of R is

Correct Answer Is : {3,6,9,12,15,18,21,24,27,30}

Solution Is :

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