Chapter 2 – Relations and Functions
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2. Define a relation R on the set N of natural numbers by R = {(x, y): y = x + 5, x is a natural number less than 4; x, y ∈ N}. Depict this relationship using roster form. Write down the domain and the range.
22
Oct
2. Define a relation R on the set N of natural numbers by R = {(x, y): y = x + 5, x is a natural number less than 4; x, y ∈ N}. Depict this relationship using roster form. Write down the domain and the range. 2. Define a relation R on the set [...]
Let A={1,2,3,….,14}. Define a relation R from A to A by R={(x,y):3x−y=0 where x,y∈A}. Write down its domain, co-domain and range.
22
Oct
Let A={1,2,3,….,14}. Define a relation R from A to A by R={(x,y):3x−y=0 where x,y∈A}. Write down its domain, co-domain and range. .... 14}. Define a relation R from A to A by R={(x 2 3% co-domain and range. Let A={1 y):3x−y=0 where x y∈A}. Write down its domain October 22, 2021 Category: Chapter 2 - [...]
The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0,1). Find the set A and the remaining elements of A × A.
22
Oct
The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0,1). Find the set A and the remaining elements of A × A. 0) and (0 1). Find the set A and the remaining elements of A × A. The Cartesian product A × A has 9 elements among [...]
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 , z are distinct elements.
22
Oct
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 , z are distinct elements. 1 1) are in A × B 2 find a and b . [...]
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Let A = {1, 2} and B = {3, 4} . Write A × B. How many subsets will A × B have? List them.
22
Oct
Let A = {1, 2} and B = {3, 4} . Write A × B. How many subsets will A × B have? List them. 2} and B = {3 4} . Write A × B. How many subsets will A × B have? List them. Let A = {1 October 22, 2021 Category: Chapter [...]
Let A = (1, 2}, B = [1, 2, 3, 4}, C = { 5, 6} and D = (5, 6, 7, 8}. Verify that (i) A x (B∩C) = (A x B)∩(A x C). (ii) A x C is a subset B x D.
22
Oct
Let A = (1, 2}, B = [1, 2, 3, 4}, C = { 5, 6} and D = (5, 6, 7, 8}. Verify that (i) A x (B∩C) = (A x B)∩(A x C). (ii) A x C is a subset B x D. 2 3% 4 6 6} and D = (5 7) [...]
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If A × B = {(a, x), (a, y), (b, x), (b, y)} Find A and B .
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Oct
If A × B = {(a, x), (a, y), (b, x), (b, y)} Find A and B . A) B If A × B = {(a X y y)} Find A and B . October 22, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT Exemplar Class 11 ,
If A = {-1 1}, find A x A x A.
22
Oct
If A = {-1 1}, find A x A x A. If A = {-1 1} find A x A x A. October 22, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT Exemplar Class 11 ,
State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly .
22
Oct
State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly . rewrite the given statement correctly . State whether each of the following statements are true or false. If the statement is false October 22, 2021 Category: Chapter 2 - Relations and Functions , [...]
If G = {7, 8} and H = {5, 4, 2} , find G × H and H × G .
22
Oct
If G = {7, 8} and H = {5, 4, 2} , find G × H and H × G . 2 4 8} and H = {5 find G × H and H × G . If G = {7 October 22, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT [...]