9th Standard Syllabus & Materials
9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கற்கண்டு (இலக்கணம்) - தொடர் இலக்கணம், ஆகுபெயர் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -விரிவானம் (துணைப்பாடம்) - தாய்மைக்கு வறட்சி இல்லை! Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கவிதை பேழை (செய்யுள்) - மார்கழி பெருவிழா Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உயிருக்கு வேர்-இலக்கணம் - பகுபத உறுப்பிலக்கணம் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர் - இலக்கணம்-எழுத்து -அளபெடை Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர்-துணைப்பாடம் - ஆறாம்திணை Important Questions And Answers Study Material - QB365 Set A

Published on: 12/06/2021
QB365 provides detailed and simple solution for every book back questions in class 9 Maths subject.It will helps to get more idea about question pattern in every book back questions with solution.
Download Tamil Nadu 9th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
If A = {0, 2, 4, 6, 8}, B = {x : x is a prime number and x < 11} and C = {x : x ∈ N and 5 ≤ x < 9} then verify \(A\cup (B\cap C)=(A\cup B)\cap (A\cup C)\).
2.
Using the set symbols, write down the expressions for the shaded region in the following.
3.
Let U = {0, 1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5, 7} and B = {0, 2, 3, 5, 7}, find the following sets (A∩B)′
4.
Using the given Venn diagram, write the elements of A∩B

5.
Using the given Venn diagram, write the elements of A

6.
Find the cardinal number of the following sets.
S = The set of all leap years between 1882 and 1906.
7.
Represent the following sets in set builder form.
B = The set of all Cricket players in India who scored double centuries in One Day Internationals.
8.
Which of the following are sets?
The Collection of good Hockey players.
9.
Which of the following are sets?
The Collection of rich people in India
10.
Let A and B be two overlapping sets and the universal set be U. Draw appropriate Venn diagram for each of the following,
(i) AUB
(ii) A∩B
(iii) (A∩B)′
(iv) (B–A)'
(v) A′UB′
(vi) A′∩B′
(vii) What do you observe from the Venn diagram (iii) and (v)?
1.
Given A = {0, 2, 4,6, 8} , B = {2, 3, 5, 7} and C = {5, 6, 7, 8}
First, we find \(B\cap C\) = {5, 7} ,\(A\cup (B\cap C)\) = {0, 2, 4, 5, 6, 7, 8} .......... (1)
Next, \(A\cup B\) = {0,2,3,4,5,6,7, 8}, \(A\cup C\) = {0, 2, 4, 5, 6, 7, 8}
Then, \((A\cup B)\cap (A\cup C)\) = {0, 2, 4, 5, 6, 7, 8} .............(2)
From (1) and (2), it is verified that \((A\cup \left( B\cap C \right) =(A\cup B)\cap (A\cup C)\).
2.
Y-X
3.
(A∩B) = {1, 3, 5, 7} ∩ {0, 2, 3, 5, 7}
= {3, 5, 7}
(A ∩B)' = U - (A∩B)
= {0, 1, 2, 3, 4, 5, 6, 7} - {3, 5, 7}
= { 0, 1, 2, 4, 6}
4.
{4, 7}
5.
{2, 4, 7, 8, 10}
6.
n(S) = 5
7.
B = {x: x is an Indian player who scored double centuries in One Day International}
8.
not a set
9.
not a set
10.
(i) AUB
(ii) A∩B
(iii) (A∩B)′
(iv) (B–A)'
(v) A′UB′
(vi) A′∩B′
(vii) From the venn diagram (iii) and (v), We have
\((A \cap B)^{\prime}=A^{\prime} \cup B^{\prime}\)
Now \(\mathrm{B} \cap \mathrm{C}=\left\{\frac{1}{4}, 2, \frac{5}{2}\right\}\)
\(A \cap(B \cap C)=\left\{\frac{1}{4}, 2\right\}\)............(1)
Then \(A \cap B=\left\{0, \frac{1}{4}, \frac{3}{4}, 2\right\}\)
\((A \cap B) \cap C=\left\{\frac{1}{4}, 2\right\}\).............(2)
From (1) and (2), it is verified that
\((A \cap B) \cap C=A \cap(B \cap C)\)
9th Standard Syllabus & Materials
9th Standard
TN 9th Tamil உள்ளத்தின் சீர் - திருக்குறள் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் - மணிமேகலை Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் - ஏறு தழுவுதல் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உயிருக்கு வேர் - தண்ணீர் Important Questions And Answers Study Material - QB365 Set A
Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards