Mathematics For Class IX Science - Unit 01 - SETS - Fill In The Blanks And Multiple Choice Questions (MCQs)

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Unit 01: SETS
Fill In The Blanks And Multiple Choice Questions (MCQs)

Fill In The Blanks

UNIT 1: SETS

1. The Cartesian product of set A and B is written as A x B.
2. {0, 1, 2, 3, 4, 5..........} is the set of whole numbers.
3. (A')' = A
4. A set which contains all the sets under consideration is called universal set.
5. Set is the collection of well-defined and distinct objects.
6. By associative property of intersection A ∩ (B ∩ C) = (A ∩ B) ∩ C.
7. Anything belongs to a set is called element of set.
8. Set of three prime number is {2, 3, 5}.
9. A = {1, 2, 4, 6, 8} , B = {1, 3, 5, 7, 9}. Then AUB = { 1, 2, 3, 4, 5, 6, 7, 8, 9}
10. A = {1, 2, 4, 6, 8} , B = {1, 3, 5, 7, 9}. Then A∩B = {1}
11. A = {2, 4, 6, 8, 10}, B = {1, 3, 5, 7, 10}. Then A - B = {2, 4, 6, 8}
12. A = {2, 4, 6, 8, 10}, B = {1, 3, 5, 7, 10}. Then B - A = {1, 3, 5, 7}
13. U = {1, 2, 3, ..... 10} , A = {2, 4, 6, 8}. Then A' = U - A
14. U = {1, 2, 3, ..... 10} , A = {2, 4, 6, 8}. Then A' = {1, 3, 5, 7, 9, 10}
15. A = {1, 2, 3, 4} B = {2, 3, 8}, A∆B = {1, 4, 8}
16. The set A = {1, 3, 5, 7 .....} is closed with respect to multiplication.
17. A set is finite = {1, 2, 3, 4, 5, 6, 7}, {-1, -2, -3, -4, -5, -6, -7}
18. Infinite set = {1, 2, 3......}, {-1, -2, -3......}
19. A set is equivalent denoted by = A ~ B.
20. A set of A is subset of set B = A ⊆ B.
21. The set of all possible subset of a set is called power set.
22. If n (A) = 10 then n [P (A)] = 1024.
(Hint: (For Power set, 'n' is the number of elements of set A.)
[P(A)] = 2ⁿ = 2¹⁰ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024.
∴ n [P (A)] = 1024)
23. If a set have four variable then subset is 16.
24. If A = {a, b} then subset are 4.
25. I is a / an rational number.
26. (3, -4) lie on 4^th quadrant - (forth or  VI).
27. (-5, -6) lie on 3^rd quadrant - (third or III).
28. (7, 8) lie on 1^st quadrant - (first or I).
29. (-9, 10) lie on 2^nd quadrant - (second or II).
30. (0, 4) lie on y-axis.
31. (-5, 0) lie on x-axis.
32. A binary relation from a set A to B is subset A X B.
33. Domain is denoted by D(x) and Range are denoted by R(y).
34. {1, 2}, {3, 4}, {5, 6}
Domain = {1, 3, 5}
Range = (2, 4, 6}
35. A = {2, 4}, B = {a, b} then A X B = {(2, a), (2, b) , (4, a) (4, b)}
36. (B')' ⇒ B = {2, 4, 6, 8}, U={1, 2, ........ 10} = {2, 4, 6, 8}
37. Collection of distinct objects which are called elements.
38. A set with no element is called Null set or Empty set.
39. The null set is denoted by { ∅ }
40. The empty set is denoted by { }.
41. A ∆ B = (AUB) - (A∩B)

Special Thanks to: Sir Sajjad Akber Chandio