PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

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.

A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.

The given figure shows a relationship between the sets P and Q. Write this relation

1. in set-builder form.
2. in roster form.

What is its domain and range?

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}.

1. Write R in roster form
2. Find the domain of R
3. Find the range of R.