RD SHARMA Solutions for Class 11-science Maths Chapter 3 - Functions

Chapter 3 - Functions Exercise Ex. 3.1

Question 1
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 2
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 2
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 3
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 3
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 5
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 5
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 6
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 6
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 7
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 7
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 9
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 9
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 10
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 10
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 11
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 11
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 12
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 12
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 13
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 13
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 14
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 14
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 15
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 15
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 16
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 16
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 17
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 17
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 18

Express the function f: X ® R given by f (x) = x 3 + 1 as set of ordered pairs, where X = {-1, 0, 3, 9, 7}.

Solution 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions 

Chapter 3 - Functions Exercise Ex. 3.2

Question 1
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 2
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 2
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 3
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 3
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 5


Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - FunctionsRd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 7
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 7
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 9(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions 

Solution 9(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions 

Question 9(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions 

Solution 9(ii)

 

 

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions 

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Chapter 3 - Functions Exercise Ex. 3.3

Question 1(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 1(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 1(iii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1(iii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 1(iv)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1(iv)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 1(v)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1(v)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 3(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 3(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 3(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 3(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 3(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 3(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 3(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 3(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 3(v)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 3(v)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 3(vi)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 3(vi)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 3(viii)

find the domain and range of Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 3(viii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 3(vii)

Find domain and range of f (x) = -|x|

Solution 3(vii)

As |x|is defined for all real numbers, its domain is R and range is only negative numbers because, |x| is always positive real number for all real numbers and -|x| is always negative real numbers.

Chapter 3 - Functions Exercise Ex. 3.4

Question 1(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 1(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 1(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 2
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 2
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 3
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 3
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 4(i)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 4(ii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 4(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 4(iv)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 4(iv)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4(v)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 4(v)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4(vi)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 4(vi)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4(vii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 4(vii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 4(viii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 4(viii)
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 6
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 6
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 7
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Solution 7
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions
Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 10

 

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Chapter 3 - Functions Exercise Ex. 3VSAQ

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Question 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Functions