2
1. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
24
Oct
1. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that 1. How many 3-digit numbers can be formed from the digits 1 2 3% 4 and 5 assuming that October 24, 2021 Category: Chapter 7 - Permutation and Combination , Maths , NCERT Exemplar Class 11 [...]
8. Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b.
22
Oct
8. Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b. –3)} be a function from Z to Z defined by f(x) = ax + b 0 ) 1 2 3% 8. [...]
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–3)} be a function from Z to Z defined by f(x) = ax + b ,
0 ) ,
1 ,
2 ,
3% ,
8. Let f = {(1 ,
B ,
b. Determine a ,
for some integers a ,
1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (iii) {(1, 3), (1, 5), (2, 5)}
22
Oct
1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (iii) {(1, 3), (1, 5), (2, 5)} 1 1. Which of the following relations are functions? Give reasons. If it is a function 2 3% 5 determine its domain and range. (iii) {(1 October 22, [...]
1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}
22
Oct
1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)} -12 1 1. Which of the following relations are functions? Give reasons. If it is a function 10 14 2 [...]
6. Determine the domain and range of the relation R defined by R = {(x, x + 5): x ∈ {0, 1, 2, 3, 4, 5}}.
22
Oct
6. Determine the domain and range of the relation R defined by R = {(x, x + 5): x ∈ {0, 1, 2, 3, 4, 5}}. 1 2 3% 4 5 6. Determine the domain and range of the relation R defined by R = {(x x + 5): x ∈ {0 October 22, 2021 [...]
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1 ,
2 ,
3% ,
4 ,
5 ,
6. Determine the domain and range of the relation R defined by R = {(x ,
x + 5): x ∈ {0 ,
5. Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}.
22
Oct
5. Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}. 2 3% 4 5. Let A = {1 6}. Let R be the relation on A defined by {(a b ∈ A B ={a b [...]
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2 ,
3% ,
4 ,
5. Let A = {1 ,
6}. Let R be the relation on A defined by {(a ,
b ∈ A ,
B ={a ,
b is exactly divisible by a}. ,
3. A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.
22
Oct
3. A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form. 2 3. A = {1 3% 5) and B(– 4 [...]
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 - [...]
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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1 ,
1) are in A × B ,
2 ,
find a and b . ,
Let A and B be two sets such that n (A) = 3 and n(B) = 2. If (x ,
where x ,
y ,
z are distinct elements. ,
Z) ,
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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2 ,
3% ,
4 ,
6 ,
6} and D = (5 ,
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. ,
B(-1 ,
C = {5 ,
Let A = {1 ,