Co-internal angles Co-interior angles, also known as consecutive interior angles or same-side interior angles, are pairs of angles that lie on the same side of a transversal and inside the two lines it intersects. These angles have specific properties depending on whether the lines they intersect are parallel or not. Definition and Identification (1) Transversal […]
Read More →Intersection of sets Definition: The ‘Intersection of two sets’ A and B is the set of all elements, which belong to both A and B. or simply, The ‘Intersection of two sets’ A and B is the set of all elements, which are common in both A and B. Symbol ‘∩’ is used to denoted the Intersection of two sets […]
Read More →If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number}, and D = {x : x is a prime number}, find the value of given sets. (i) A ⋂ B(ii) A ⋂ C (iii) A […]
Read More →Solutions – Union and Intersection of two Sets 1.If X and Y are two sets such that X∪Y has 40 elements, X has 22 elements and Y has 30 elements, how many elements does X∩Y have? Solution: Given that n(X∪Y) = 40, n(X) = 22, and n(Y) = 30, n(X∩Y)= ? By using the formula n(X∪Y) […]
Read More →Set Theory Symbol List List of set theory symbols Symbol Symbol Name 1. {} Set 2. A […]
Read More →Parallel Intersecting and Perpendicular Lines Definition: Parallel Lines Two or more lines in a plane that never intersect or touch each other are called “Parallel lines”. The symbol “∥” is used to denote parallel lines. Example- PQ ∥ RS denoted that line PQ parallel to line RS. Intersecting lines […]
Read More →Disjoint Sets – Overlapping Sets Definition: Two are more sets are said to be ‘Disjoint sets’, if they have no common elements. or Disjoint sets are sets, whose Intersection is the empty set. Disjoint sets are also known as Non Overlapping sets. Let A and B are two […]
Read More →The side opposite to equal angles of a triangle are equal. Given: A triangle △ ABC in which angles opposite to sides AC and AB of are ∠B and ∠C, and ∠B = ∠C. To prove: We need to prove that sides AB and AC, are equal AB = AC. Construction: Draw […]
Read More →Vertex – Definition and Examples Vertex – Latin word Vertex meaning, “highest point”. What is Vertex? Vertex is a point where two or more rays or line segments are meet. When two rays or line segments meet, simply it is a corner, they form an angle. Definition: A vertex is a point on a polygon, where […]
Read More →Word Problems – Set Example 1: In a group of 60 people, 27 like tea, 42 likes coffee, and each person likes at least one of the two drinks. How many people like both coffee and tea. Solution: Let T denote the set of people who likes tea and C denote the set of people who likes coffee. […]
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