English

What universal set (s) would you propose for the following: The set of right triangles.

Advertisements
Advertisements

Question

What universal set (s) would you propose for the following:

The set of right triangles.

One Line Answer
Advertisements

Solution 1

For the set of right triangles, the universal set can be the set of triangles or the set of polygons.

shaalaa.com

Solution 2

Right triangle is a type of triangle. So the set of triangles contain all types of triangles.

∴ U = {x : x is a triangle in a plane)

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - EXERCISE 1.3 [Page 13]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.3 | Q 7. (i) | Page 13
R.D. Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.04 | Q 15.1 | Page 17

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

What universal set (s) would you propose for the following:

The set of isosceles triangles.


Given the sets, A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, the following may be considered as universal set (s) for all the three sets A, B and C?

Φ


If U = {2, 3, 5, 7, 9} is the universal set and A = {3, 7}, B = {2, 5, 7, 9}, then prove that:

\[\left( A \cap B \right)' = A'B' .\]

 


For any two sets A and B, prove that 

 B ⊂ A ∪ B         


For any two sets A and B, show that the following statements are equivalent:

(i) \[A \subset B\] 

(ii) \[A \subset B\]=ϕ 

(iii) \[A \cup B = B\]

(iv) \[A \cap B = A .\] 


For any two sets, prove that: 

\[A \cup \left( A \cap B \right) = A\] 

 


For any two sets, prove that: 

\[A \cap \left( A \cup B \right) = A\]


Find sets A, B and C such that \[A \cap B, A \cap C \text{ and } B \cap C\]are non-empty sets and\[A \cap B \cap C = \phi\]


Show that for any sets A and B, A = (A ∩ B) ∪ ( A - B)


For any two sets A and B, prove that : 

\[A' - B' = B - A\] 


For any two sets A and B, prove the following: 

\[A \cap \left( A' \cup B \right) = A \cap B\] 


For any two sets A and B, prove the following: 

\[A - \left( A - B \right) = A \cap B\]


For any two sets A and B, prove the following:

\[A - B = A \Delta\left( A \cap B \right)\]


Let A and B be two sets such that : \[n \left( A \right) = 20, n \left( A \cup B \right) = 42 \text{ and } n \left( A \cap B \right) = 4\] \[n \left( B - A \right)\]


A survey shows that 76% of the Indians like oranges, whereas 62% like bananas. What percentage of the Indians like both oranges and bananas? 


In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find: 

how many can speak English only. 


Let U be the universal set containing 700 elements. If A, B are sub-sets of U such that \[n \left( A \right) = 200, n \left( B \right) = 300 \text{ and } \left( A \cap B \right) = 100\].Then \[n \left( A' \cap B' \right) =\] 


Let A and B be two sets that \[n \left( A \right) = 16, n \left( B \right) = 14, n \left( A \cup B \right) = 25\] Then, \[n \left( A \cap B \right)\] 


If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

B ∪ C


If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

A ∪ B ∪ C


If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

A ∪ B ∪ D


If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

B ∪ C ∪ D


If X and Y are subsets of the universal set U, then show that Y ⊂ X ∪ Y


If X and Y are subsets of the universal set U, then show that X ∩ Y ⊂ X


If A and B are subsets of the universal set U, then show that A ⊂ A ∪ B


If A and B are subsets of the universal set U, then show that (A ∩ B) ⊂ A


A, B and C are subsets of Universal Set U. If A = {2, 4, 6, 8, 12, 20} B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20} and U is the set of all whole numbers, draw a Venn diagram showing the relation of U, A, B and C.


Let A, B and C be sets. Then show that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)


In a survey of 200 students of a school, it was found that 120 study Mathematics, 90 study Physics and 70 study Chemistry, 40 study Mathematics and Physics, 30 study Physics and Chemistry, 50 study Chemistry and Mathematics and 20 none of these subjects. Find the number of students who study all the three subjects.


In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B, 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers. Find the number of families which buy none of A, B and C


The set (A ∩ B′)′ ∪ (B ∩ C) is equal to ______.


For all sets A and B, A – (A ∩ B) is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×