NCERT Class 11 Mathematics Chapter 2 – Relations and Functions Exercise 2.3 Solutions

Relations and Functions Exercise 2.3 Solutions – NCERT Class 11 Mathematics Chapter 2

1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.(i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}As every first element in the ordered pairs…

Read more
NCERT Class 11 Mathematics Chapter 2 – Relations and Functions Exercise 2.1 Solutions

Relations and Functions Exercise 2.2 Solutions – NCERT Class 11 Mathematics Chapter 2

1. Let A = {1, 2, 3,…,14}Define a relation R from A to A byR = {(x, y) : 3x – y = 0, where x, y ∈ A}. Write down its domain,…

Read more
NCERT Class 11 Mathematics Chapter 2 – Relations and Functions Exercise 2.1 Solutions

Relations and Functions Exercise 2.1 Solutions – NCERT Class 11 Mathematics Chapter 2

1. If (x/3 + 1, y – 2/3) = (5/3, 1/3) then find values of x and y. Comparing both sides of this equation we get Simplifying x/3 + 1 = 5/3 Simplifying…

Read more
NCERT Class 11 Mathematics Chapter 1 - Sets Solutions

Sets Chapter 1 NCERT Class 11 Maths Solutions

Exercise 1.1 1. Which of the following are sets? Justify your answer.(i) The collection of all the months of a year beginning with the letter JThe collection of all months of a year…

Read more
NCERT Class 11 Mathematics Chapter 1 – Sets Miscellaneous Exercise Solutions

Sets Miscellaneous Exercise Solutions – Chapter 1 NCERT Class 11 Mathematics

1. Decide among the following sets which sets are subsets of one and another: A = {x : x ∈ R and x satisfy x2 – 8x + 12 = 0}B = {2,…

Read more
NCERT Class 11 Mathematics Chapter 1 – Sets Exercise 1.6 Solutions

Sets Exercise 1.6 Solutions – NCERT Class 11 Mathematics Chapter 1

1. If X and Y are two sets such that n(X) = 17, n(Y) = 23 and n(X ∪ Y) = 38 Find n(X ∩ Y)We know thatn(X ∪ Y) + n(X ∩…

Read more
NCERT Class 11 Mathematics Chapter 1 – Sets Exercise 1.5 Solutions

Sets Exercise 1.5 Solutions – NCERT Class 11 Mathematics Chapter 1

1. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 3, 4}B = {2, 4, 6, 8}C = {3, 4, 5, 6}Find (i) A′ A′ =…

Read more
NCERT Class 11 Mathematics Chapter 1 – Sets Exercise 1.4 Solutions

Sets Exercise 1.4 Solutions – NCERT Class 11 Mathematics Chapter 1

1. Find the union of each of the following pairs of sets: (i) X = {1, 3, 5} Y = {1, 2, 3}X ∪ Y = {1, 2, 3, 5} (ii) A =…

Read more
NCERT Class 11 Mathematics Chapter 1 – Sets Exercise 1.3 Solutions

Sets Exercise 1.3 Solutions – NCERT Class 11 Mathematics Chapter 1

1. Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:(i) { 2, 3, 4 } . . . { 1, 2, 3, 4,5 } { 2, 3,…

Read more
NCERT Class 11 Mathematics Chapter 1 - Sets Excercise 1.2 Solutions

Sets Exercise 1.2 Solutions – NCERT Class 11 Mathematics Chapter 1

1. Which of the following are examples of the null set (i) Set of odd natural numbers divisible by 2Set of odd natural numbers which can be divided by 2 is a null…

Read more