Arts (English Medium) इयत्ता ११ - CBSE Question Bank Solutions for Mathematics

Write the following set in roster form:

A = {x : x is an integer and –3 ≤ x < 7}

Write the following set in roster form:

B = {x : x is a natural number less than 6}

Write the following set in roster form:

C = {x : x is a two-digit natural number such that the sum of its digits is 8}

Write the following set in roster form:

D = {x : x is a prime number which is divisor of 60}

Write the following set in roster form:

E = The set of all letters in the word TRIGONOMETRY

Write the following set in roster form:

F = The set of all letters in the word BETTER

Write the following set in the set-builder form:

{3, 6, 9, 12}

Write the following set in the set-builder form:

{2, 4, 8, 16, 32}

Write the following set in the set-builder form:

{5, 25, 125, 625}

Write the following set in the set-builder form:

{2, 4, 6, …}

Write the following set in the set-builder form:

{1, 4, 9, ....., 100}

List all the elements of the following set:

A = {x : x is an odd natural number}

List all the elements of the following set:

B = `{x : x  "is an integer", -1/2 < x < 9/2}`

List all the elements of the following set:

C = {x : x is an integer, x² ≤ 4}

List all the elements of the following set:

D = {x : x is a letter in the word “LOYAL”}

List all the elements of the following set:

E = {x : x is a month of a year not having 31 days}

List all the elements of the following set:

F = {x : x is a consonant in the English alphabet which precedes k}.

Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

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

Define a relation R on the set N of natural numbers by R = {(x, y): y = x + 5, x is a natural number less than 4; x, y ∈ N}. Depict this relationship using roster form. Write down the domain and the range.