हिंदी

For Any Set A, (A')' is Equal to - Mathematics

Advertisements
Advertisements

प्रश्न

For any set A, (A')' is equal to 

विकल्प

  • (a) A'

  • (b) A

  • (c) ϕ

  • (d) none of these. 

MCQ

उत्तर

(b) A
The complement of the complement of a set is the set itself.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise 1.10 [पृष्ठ ४९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.10 | Q 1 | पृष्ठ ४९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

In the following, state whether A = B or not:

A = {a, b, c, d}; B = {d, c, b, a}


In the following, state whether A = B or not:

A = {2, 4, 6, 8, 10}; B = {x : x is positive even integer and x ≤ 10}


In the following, state whether A = B or not:

A = {x : x is a multiple of 10}; B = {10, 15, 20, 25, 30, ...}


Are the following pair of sets equal? Give reasons.

A = {2, 3}, B = {x : x is solution of x2 + 5x + 6 = 0}


Are the following pair of sets equal? Give reasons.

A = {x : x is a letter in the word FOLLOW};

B = {y : y is a letter in the word WOLF}


From the sets given below, select equal sets:

A = {2, 4, 8, 12},
B = {1, 2, 3, 4},
C = {4, 8, 12, 14},
D = {3, 1, 4, 2},
E = {-1, 1},
F = {0, a},
G = {1, -1},
H = {0, 1}


Assume that P (A) = P (B). Show that A = B.


Which of the following sets are equal?

\[A = \left\{ 1, 2, 3 \right\};\]


Which of the following sets are equal? 

(i) \[A = \left\{ 1, 2, 3 \right\};\] 

(ii) \[B = \left\{ x \in R : x^2 - 2x + 1 = 0 \right\};\] 

(iii) \[C = \left\{ 1, 2, 2, 3 \right\};\] 

(iv) \[D = \left\{ x \in R : x^3 - 6 x^2 + 11x - 6 = 0 \right\}\]


Are the following sets equal?
A = {x : x is a letter in the word reap}:
B = {x : x is a letter in the word paper};
C = {x : x is a letter in the word rope}.


From the sets given below, pair the equivalent sets: 

\[A = \left\{ 1, 2, 3 \right\}, B = \left\{ t, p, q, r, s \right\}, C = \left\{ \alpha, \beta, \gamma \right\}, D = \left\{ a, e, i, o, u \right\} .\]


Are the following pairs of sets equal? Give reasons. 

A = {2, 3}, B = {x : x is a solution of x2 + 5x + 6 = 0}


Are the following pairs of sets equal? Give reasons. 

A = {x : x is a letter of the word " WOLF"};
    B = {x : x is a letter of the word " FOLLOW"}.


From the sets given below, select equal sets and equivalent sets.
A = {0, a}, B = {1, 2, 3, 4} C = {4, 8, 12}, D = {3, 1, 2, 4},
E = {1, 0}, F = {8, 4, 12} G = {1, 5, 7, 11}, H = {ab}. 


Which of the following sets are equal?
A = {x : x ∈ Nx, < 3},
B = {1, 2}
C = {3, 1}
D = {x : x ∈ Nx is odd, x < 5},
E = {1, 2, 1, 1} F = {1, 1, 3}. 


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


The set  \[\left( A \cup B' \right)' \cup \left( B \cap C \right)\] is equal to

 


Decide which of the following are equal sets and which are not. Justify your answer.

  1. A = {x | 3x - 1 = 2}
  2. B = {x | x is a natural number but x is neither prime nor composite}
  3. C = {x | x ∈ N, x < 2}

Decide whether sets A and B are equal sets. Give reason for your answer.

A = Even prime numbers

B = {x | 7x − 1 = 13}

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×