हिंदी

Write Which of the Following Statement Are True? Justify Your Answer. the Set of All Rectangle is Contained in the Set of All Squares. - Mathematics

Advertisements
Advertisements

प्रश्न

Write which of the following statement are true? Justify your answer. 

 The set of all rectangle is contained in the set of all squares.

Advertisements

उत्तर

 False
Every square can be a rectangle, but every rectangle cannot be a square.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise 1.04 [पृष्ठ १६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.04 | Q 4.3 | पृष्ठ १६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Identify whether the following set is finite or infinite.

{1, 2, 3, ...}


Identify whether the following set is finite or infinite.

{1, 2, 3, ... 99, 100}


Identify whether the following set is finite or infinite.

The set of prime numbers less than 99.


State whether the following set is finite or infinite:

The set of lines which are parallel to the x-axis.


State whether the following set is finite or infinite:

The set of letters in the English alphabet.


State whether the following set is finite or infinite:

The set of animals living on the earth.


State whether the following set is finite or infinite:

The set of circles passing through the origin (0, 0).


Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.


Which of the following sets are finite and which are infinite? 

Set of concentric circles in a plane


Which of the following sets are finite and which are infinite? 

 {x = ∈ N : x < 200}


Which of the following statements are true? Give reason to support your answer. 

Every subset of an infinite set is infinite 


Which of the following statements are true? Give reason to support your answer. 

Every set has a proper subset


Which of the following statements are true? Give reason to support your answer. 

{ababab, ...} is an infinite set


Which of the following statements are true? Give reason to support your answer. 

 {abc} and {1, 2, 3} are equivalent sets 


State whether the following statements are true or false: 

\[1 \in \left\{ 1, 2, 3 \right\}\]


State whether the following statements are true or false: 

\[\left\{ a \right\} \in \left\{ a, b, c \right\}\]


State whether the following statements are true or false: 

\[\left\{ a, b \right\} = \left\{ a, a, b, b, a \right\}\] 


State whether the following statements are true or false:

The set {x ; x + 8 = 8} is the null set. 


Decide among the following sets, which are subsets of which:

\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0},\]

\[B = \left\{ 2, 4, 6 \right\}, C = \left\{ 2, 4, 6, 8, . . . \right\}, D = \left\{ 6 \right\} .\]


Write which of the following statements are true? Justify your answer. 

The set of all integers is contained in the set of all set of all rational numbers. 


Write which of the following statement are true? Justify your answer.

The sets P = {a} and B = {{a}} are equal.


Let A = {ab, {cd}, e}. Which of the following statement are false and why?

\[\left\{ a, b, e \right\} \subset A\] 


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] Which of the following are true? \[\left\{ 1 \right\} \in A\]

 


In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone? 


Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively


If A and B are two finite sets, then n(A) + n(B) is equal to ______.


Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×