Q15) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg
Q15) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg
Playlist:
Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths
• Maths Class 11th Chapter 1st SETS | All To...
sets maths questions,
sets maths important questions,
class 11th miscellaneous exercise chapter 1 question number 15,
class 11th miscellaneous exercise question number 15,
class 11 sets miscellaneous exercise q15,
class 11 maths sets miscellaneous solutions 15,
class 11th miscellaneous chapter 1,
class 11th miscellaneous exercise chapter 1,
class 11th miscellaneous exercise,
class 11th sets miscellaneous,
class 11 sets miscellaneous,
class 11th sets miscellaneous exercise,
class 11th sets miscellaneous exercise solutions,
class 11 maths sets miscellaneous solutions,
class 11 maths chapter 1 sets miscellaneous exercise,
class 11 maths ch 1 sets miscellaneous exercise,
#class11
#class11CBSE
#class11NCERT
#class11Maths
#MathsNCERT
#mathsSETS
#cbseclass11SETS
Sets and their Representations
In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections:
(i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9
(ii) The rivers of India
(iii) The vowels in the English alphabet, namely, a, e, i, o, u
Miscellaneous Exercise on Chapter 1
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, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }.
2. In each of the following, determine whether the statement is true or false. If it is
true, prove it. If it is false, give an example.
(i) If x A and A B , then x B
(ii) If A B and B C , then A C
(iii) If A B and B C , then A C
(iv) If A B and B C , then A C
(v) If x A and A B , then x B
(vi) If A B and x B , then x A
3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show
that B = C.
4. Show that the following four conditions are equivalent :
(i) A B(ii) A – B = (iii) A B = B (iv) A B = A
5. Show that if A B, then C – B C – A.
6. Assume that P ( A ) = P ( B ). Show that A = B
7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer.
8. Show that for any sets A and B,
A = ( A B ) ( A – B ) and A ( B – A ) = ( A B )
9. Using properties of sets, show that
(i) A ( A B ) = A ( ii) A ( A B ) = A.
10. Show that A B = A C need not imply B = C.
11. Let A and B be sets. If A X = B X = and A X = B X for some set
X, show that A = B.
(Hints A = A ( A X ) , B = B ( B X ) and use Distributive law )
12. Find sets A, B and C such that A B, B C and A C are non-empty
sets and A B C = .
13. In a survey of 600 students in a school, 150 students were found to be taking tea
and 225 taking coffee, 100 were taking both tea and coffee. Find how many
students were taking neither tea nor coffee?
14. In a group of students, 100 students know Hindi, 50 know English and 25 know
both. Each of the students knows either Hindi or English. How many students
are there in the group?
15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T,
8 read both T and I, 3 read all three newspapers. Find:
(i) the number of people who read at least one of the newspapers.
(ii) the number of people who read exactly one newspaper.
16. In a survey it was found that 21 people liked product A, 26 liked product B and
29 liked product C. If 14 people liked products A and B, 12 people liked products
C and A, 14 people liked products B and C and 8 liked all the three products.
Find how many liked product C only.
Exercise Questions Links:
Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg • Q1) Miscellaneous Exercise Class11th Chap...
Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg • Q2) Miscellaneous Exercise Class11th Chapt...
Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg • Q3) Miscellaneous Exercise Class11th Chapt...
Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg • Q8) Miscellaneous Exercise Class11th Chapt...
Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg • Q9) Miscellaneous Exercise Class11th Chapt...
Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg • Q10) Miscellaneous Exercise Class11th Chap...
Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg • Q11) Miscellaneous Exercise Class11th Chap...