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8. In a0:02:42

8. In a committee, 50 people speak French, 20 speak Spanish and 10 speak both

6. Determine the0:02:03

6. Determine the domain and range of the relation R defined by R = {(x, x + 5): x ∈ {0, 1,

3. A =0:02:09

3. A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the differen

7. Write the0:02:08

7. Write the relation R = {(x, x3): x is a prime number less than 10} in roster form.

2. Define a0:02:15

2. Define a relation R on the set N of natural numbers by R = {(x, y): y = x + 5, x is a natural

2.If the set0:01:37

2.If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A × B)

5. Let A0:03:18

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

1. If (x/3+1,y-2/3)=(5/3,1/3),0:01:46

1. If (x/3+1,y-2/3)=(5/3,1/3), find the values of x and y.

5. Find the0:05:04

5. Find the range of each of the following functions.(i) f(x) = 2 – 3x, x ∈ R, x 0.(ii) f(x) =

4.The function ‘t’0:03:30

4.The function ‘t’ which maps temperature in degree Celsius into temperature in

2.Find the domain0:11:00

2.Find the domain and range of the following real function: f(x) = –|x| f(x) = √(9-x^2 )

7.Let f, g:0:01:51

7.Let f, g: R → R be defined, respectively by f(x) = x + 1, g(x) = 2x – 3. Find f + g, f – g an

8. Let f0:02:31

8. Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a function from Z to Z defined by f(x) = ax +

12. Let A0:01:43

12. Let A = {9, 10, 11, 12, 13} and let f: A → N be defined by f(n) = the highest prime factor of n

11. Let f0:02:41

11. Let f be the subset of Z × Z defined by f = {(ab, a + b): a, b ∈ Z}. Is f a function from Z to

9. Let R0:03:47

9. Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and a = b2}. Are the following

6. Let f0:03:24

6. Let f = {(x x^2/(1+x^2 )):x ϵ R}be a function from R into R. Determine the range of f.

4. Find the0:01:40

4. Find the domain and the range of the real function f defined by f(x) =√((x-1)).

2. If f(x)0:01:02

2. If f(x) = x2, find (f(1.1)-f(1))/((1.1-1)).

3.Find the domain0:02:23

3.Find the domain of the function f(x) = (x^2+2x+1)/(x^2-8x+12)

7. Find the0:03:22

7. Find the value of the trigonometric function cosec (–1410°)

10. Find the0:04:36

10. Find the value of the trigonometric function sin⁡- 11π/3

9. Find the0:02:06

9. Find the value of the trigonometric function cot-15π/3

8.Find the value0:02:09

8.Find the value of the trigonometric function tan 19π/3

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