1. If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C. then

2. Let A = {1, 2}, how many binary operations can be defined on this set?

3. Let A = {1, 2, 3, 4,…. n} How many bijective function f : A → B can be defined?

4. If A = (1, 2, 3}, B = {6, 7, 8} is a function such that f(x) = x + 5 then what type of a function is f?

5. Let function R → R is defined as f(x) = 2x³ – 1, then ‘f’ is

6. Let the functioin ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is

7. A relation R in human being defined as, R = {{a, b) : a, b ∈ human beings : a loves A} is-

8. If f(x) + 2f (1 – x) = x² + 2 ∀ x ∈ R, then f(x) =

9. The period of sin² θ is

10. The domain of sin-1 (log (x/3)] is. . (a) [1, 9]