हिंदी

Let A = {–1, 2, 3} and B = {1, 3}. Determine A × A - Mathematics

Advertisements
Advertisements

प्रश्न

Let A = {–1, 2, 3} and B = {1, 3}. Determine A × A

योग

उत्तर

Given that: A = {– 1, 2, 3} and B = {1, 3}

A × A = {– 1, 2, 3} × {–1, 2, 3}

= {(– 1, – 1), (– 1, 2), (– 1, 3), (2, – 1), (2, 2), (2, 3), (3, – 1), (3, 2), (3, 3)}

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Relations and Functions - Exercise [पृष्ठ २७]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 2 Relations and Functions
Exercise | Q 1.(iv) | पृष्ठ २७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

State whether the following statement is true or false. If the statement is false, rewrite the given statement correctly.

If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.


If A = {–1, 1}, find A × A × A.


Let A = {1, 2} and B = {3, 4}. Write A × B. How many subsets will A × B have? List them.


Let A and B be two sets such that n(A) = 3 and n (B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y and z are distinct elements.


If A = {1, 2} and B = {1, 3}, find A × B and B × A.


If A and B are two set having 3 elements in common. If n(A) = 5, n(B) = 4, find n(A × B) and n[(A × B) ∩ (B × A)].


State whether of  the statement is true or false. If the statement is false, re-write the given statement correctly:

If P = {m, n} and Q = {n, m}, then P × Q = {(m, n), (n, m)}


Given A = {1, 2, 3}, B = {3, 4}, C ={4, 5, 6}, find (A × B) ∩ (B × C ).

 

If A = {2, 3}, B = {4, 5}, C ={5, 6}, find A × (B ∪ C), A × (B ∩ C), (A × B) ∪ (A × C).

 

If A = {1, 2, 3}, B = {4}, C = {5}, then verify that:

(ii) A × (B ∩ C) = (A × B) ∩ (A × C)


If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, find

(iv) (A × B) ∪ (A × C)

 

 


Find the domain of the real valued function of real variable: 

(ii)  \[f\left( x \right) = \frac{1}{x - 7}\]

 


Find the domain of the real valued function of real variable: 

(iv)  \[f\left( x \right) = \frac{2x + 1}{x^2 - 9}\]

 


Find the domain of the real valued function of real variable:  

(v)  \[f\left( x \right) = \frac{x^2 + 2x + 1}{x^2 - 8x + 12}\]

 


Find the domain of the real valued function of real variable:

(ii) \[f\left( x \right) = \frac{1}{\sqrt{x^2 - 1}}\]

 


Find the domain of the real valued function of real variable:

(iii) \[f\left( x \right) = \sqrt{9 - x^2}\]

 


Find the domain and range of the real valued function:

(ii) \[f\left( x \right) = \frac{ax - b}{cx - d}\]

 

 


Find the domain and range of the real valued function:

(iii)  \[f\left( x \right) = \sqrt{x - 1}\]

 


Find the domain and range of the real valued function:

(vi) \[f\left( x \right) = \left| x - 1 \right|\] 

 


Find the domain and range of the real valued function:

(ix)  \[f\left( x \right) = \frac{1}{\sqrt{16 - x^2}}\]


Find the domain and range of the real valued function:

(x)  \[f\left( x \right) = \sqrt{x^2 - 16}\]


Find f + gf − gcf (c ∈ R, c ≠ 0), fg, \[\frac{1}{f}\text{  and } \frac{f}{g}\] in :

(a) If f(x) = x3 + 1 and g(x) = x + 1


Let A = {1, 2, 3, 4} and B = {5, 7, 9}. Determine A × B 


Let A = {1, 2, 3, 4} and B = {5, 7, 9}. Determine is A × B = B × A?


Let A = {1, 2, 3, 4} and B = {5, 7, 9}. Determine is n (A × B) = n (B × A)?


Let A = {–1, 2, 3} and B = {1, 3}. Determine A × B


Let A = {–1, 2, 3} and B = {1, 3}. Determine B × B


The number of elements in the set {x ∈ R: (|x| –3)|x + 4| = 6} is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×