Class 10 Maths Chapter 5 Notes
Important full Class 10 Maths Chapter 5 Notes in Mathematics Urdu Medium by Mr. Tasneem Haider. These computerized notes are very helpful in the preparation of Class 10 Maths Chapter 5 Notes for students of the Mathematics and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Important class 10 maths chapter 5 notes pdf for all students of Punjab Textbook Board.
- Four possible answers are given for the following questions. Tick mark (✔) the correct answer.
- (i). A collection of well-defined objects is called: (a) subset (c) set (b) power set (d) none of these
- (ii). A set Q = { a / b l ∈ Z ∧ b ≠ 0 } is called a set of: (a) Whole numbers (b) Natural numbers (c) Irrational numbers (d) Rational numbers
- Important class 10 maths notes chapter 5 for all students of Punjab Textbook Board.
- (iii). The different number of ways to describe a set are: (a) 1 (b) 2 (c) 3 (d) 4
- (iv). A set with no element is called: (a) Subset (b) Empty set (c) Singleton set (d) Super set
- (v). The set { x | x ∈ W ∧ x ≤ 101 } is: (a) Infinite set (b) Subset (c) Null set (d) Finite set
- (vi). The set having only one element is called: (a) Null set (b) Power set (c) Singleton set (d) Subset
- Important class 10th maths chapter 5 notes for all students of Punjab Textbook Board.
- (vii). Power set of an empty set is: (a) ϕ (b) { a } (c) { ϕ ,{ a } } (d) { ϕ }
- (viii). The number of elements in power set { 1, 2, 3 } is: (a) 4 (b) 6 (c) 8 (d) 9
- (ix). If A ⊆ B, then A ∪ B is equal to: (a) A (b) B (c) ϕ (d) none of these
- (x). If A ⊆ B, then A ∩ B is equal to: (a) A (b) B (c) ϕ (d) none of these
- (xi). If A ⊆ B, then A - B is equal to: (a) A (b) B (c) ϕ (d) B - A
- Important math class 10 chapter 5 notes for all students of Punjab Textbook Board.
- (xii). (A ∪ B) ∪ C is equal to: (a) A ∩ (B ∪ C) (b) (A ∪ B) ∩ C (c) A ∪ (B ∪ C) (d) A ∩ (B ∩ C)
- (xiii) Point ( -1, 4 ) lies in the quadrant: (a) I (b) II (c) III (d) IV
- (xiv) The relation {( 1, 2 ), ( 2, 3 ), ( 3, 3 ), ( 3, 4 )} is: (a) onto function (b) into function (c) not a function (d) one-one function
- Write short answers of the following questions.
- (i). Define a subset and give one example.
- Important maths class 10 notes chapter 5 for all students of Punjab Textbook Board.
- (ii). Write all the subsets of the set {a, b}.
- (iii). Show A ∩ B by Venn diagram. When A ⊆ B
- (iv). Show by Venn diagram A ∩ (B ∪ C).
- (v). Define intersection of two sets.
- (vi). Define a function.
- (vii). Define one-one function.
- Important class 10 chapter 5 maths notes for all students of Punjab Textbook Board.
- (viii). Define an onto function.
- (ix). Define a bijective function.
- (x) Write De Morgan's laws.
- SETS: A set is a well-defined collection of objects and it is denoted by capital letters A, B, C etc.
- (i) Some Important Sets: In set theory, we usually deal with the following sets of numbers denoted by standard symbols:
- N = The set of natural numbers = {1, 2, 3, 4,...}
- W = The set of whole numbers = {0, 1, 2, 3, 4, ...}
- Z = The set of all integers = {0, ±1, ±2, ±3, ...}
- E = The set of all even integers = {0, ±2, ±4,...}