Roster Form

Q.

The domain and range of the relation R given by R $=\left\{(x,y):y=x+\frac{6}{x},\mathrm{where}x,y\in N\mathrm{and}x<6\right\}$ is

1. $\left\{1,2,3\right\},\left\{7,5\right\}$

2. $\left\{1,2\right\},\left\{7,5\right\}$

3. $\left\{2,3\right\},\left\{5\right\}$

4. None of these

Q. Write the set $\{x:x\text{is a positive integer and}{x}^2<40\}$ in the roster form.

Q. Write the solution set of the equation $x^2+x-2=0$ in roster form.

Q.

How to send pictures of a math problem? Please give a tutorial

Q. If $A=\{1,2,3,4,5\}$ then which of the following is correct?

1. $\varphi \in A$
2. $3\notin A$
3. $\left\{2\right\}\in A$
4. $4\in A$

Q. The roster form of the set $\{x:x$ is a real number and $x^3=3x^2-2x\}$

1. $\{1,2\}$
2. $\{1,2,\varphi \}$
3. $\{0,1,2\}$
4. $\{0,\varphi ,1,2,3\}$

Q. The roster form of the set $\{x:x$ is a two-digit natural number such that sum of its digits is $9\}$

1. $(09,18,27,36,45,54,63,72,81,90)$
2. $\{09,18,27,36,45,54,63,72,81,90\}$
3. $[09,18,27,36,45,54,63,72,81,90]$
4. $\{18,27,36,45,54,63,72,81,90\}$

Q. Which of the following is roster form of $\{x:x$ is even prime number greater than $2\}$?

1. $\left\{0\right\}$
2. $0$
3. $\left\{\right\}$
4. $\left\{2\right\}$

Q. Prove that $2^n>n$ for all positive integers $n$.

Q. I have a problem in maths. i understand all the concepts but m not able to solve questions during exam Can u give me tips and suggestions to improve it....

Q.

Describe the following sets in Roster form :

(i) {x : x is a letter before e in the English alphabet}.

(ii) {$xϵN:x^2<25$}

(iii) {$xϵN$: x is a prime number, 10 < x < 20}.

(iv) $xϵN:x=2n,nϵN$.

(v) $xϵR:x>x$.

(vi) {x : x is a prime number which is a divisor of 60}

(vii) {x : x ix a two digit number such that the sum of its digits is 8}.

(viii) The set of all letters in the word ' Trigonometry'.

(ix) The set of all letters in the word 'Better'.

Q.

Let A = {1, 2, 3, 5}, B = {4, 6, 9} and R be a relation from A to B defined by R = {(x, y) : x - y is odd}. Write R in roster form.

Q.

There are 15 chocolates be distributed among 3 children subject to condition that child can take any number of chocolates. Find the required number of ways to do this if chocolates are distinct.

1. 

2. 

3. 

4. 

Q.

How many onto functions from set A to set A can be formed for the set A = { 1, 2, 3, 4, 5, ......n} ?

1. n²

2. 2n

3. n

4. n!

Q. Express the given sets in roster form:

(v) S = {Squares of first eight whole numbers}.

Q. The number of distinct arrangements that can be made by using all the letters of the word ${}^{\prime }ASPIRANT{S}^{\prime }$ such that the word begins with $T$ is

1. $10080$
2. $10180$
3. $11180$
4. $12080$

Q.

Write the relation R = {(x, x³): x is a prime number less than 10} in roster form.

Q. In roster notation of a set

1. order of elements is important
2. elements represented in square brackets
3. all elements will posses common property
4. none of the above

Q. Describe the following set in Roster form:

(vi) $\{x:x$ is a prime number which is a divisor of 60 $\}$

Q.

What is well defined collection of an object with an example

Q. Which of the following is correct notation?

1. $\in \to$ there exist
2. $\forall \to$ for all
3. $:\to$ belongs to
4. $\exists \to$ such that

Q. Show that the set of letters needed to spell $CATARACT$ and the set of letters needed to spell $TRACT$ are equal.

Q. Can I have some CBSE board question papers of maths

Q. In roster notation of a set

1. order of elements is important
2. elements represented in square brackets
3. all elements will posses common property
4. none of the above

Q.

Write each given set in the Set Builder Form.

$\left\{4,8,12,16,20,24,.......\right\}$

Q. What are normal or representative elements and their properties

Q.

What is the cardinal number of following sets?

The set of prime number less than $10$

Q.

If $\mathrm{A}$ is the set of the divisors of the number $15$, $\mathrm{B}$ is the set of prime numbers smaller than $10$ and $\mathrm{C}$ is the set of even numbers smaller than $9$, then $(\mathrm{A}\cup \mathrm{C})\cap \mathrm{B}$ is?

Q. Choose an appropriate word from the options to suitably fill the blank so that the sentence makes sense, both grammatically and contextually.

Do you think that flying an airplane is a _______ experience?

1. terrified
2. terrifying
3. terrify
4. terror

Q. What are fundamental concept of set ?