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State whether the expression {x : x< 3} or {x : x> 10} represent..
State whether the expression { x : x < 3} or { x : x > 10} represents an intersection or union of sets. => disjunction or union or intersection or conjunction..
Locus of a point equidistant from two intersecting lines
Locus of a point equidistant from two intersecting lines - Draw two intersecting lines l and m intersecting at O. Draw OA the bisector of . Mark E on OA. Draw EB and EC perpendicular to OB and OC respectively. EB and EC are the distances of E from OB and OC respectivel..
Locus of a point equidistant from two intersecting lines - Draw two intersecting lines l and m intersecting at O. Draw OA the bisector of . Mark E on OA. Draw EB and EC perpendicular to OB and OC respectively. EB and EC are the distances of E from OB and OC respectivel..Introduction
We are already familiar with set theory and mathematical logic from earlier classes. It has already been seen that there is a similarity between the laws stated in set theory and the mathematical logic. The operations 'union', 'intersection' and 'complement' ..
Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a se..
Summary
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not in A. Set Operations ..
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not in A. Set Operations ..Union of sets
If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given set..
Intersecting lines
Two lines having a common point are called intersecting lines. The common point is known as the point of intersection..
Intersecting lines
Two lines having a common point are called intersecting lines. The common point is known as the point of intersection..
Two lines having a common point are called intersecting lines. The common point is known as the point of intersection..Intersection of sets
A set can be formed by using all the common elements of two given sets. Such a collection is called the intersection of the given set..
Point of Intersection of Two lines
Straight lines intersect at (X 1 ,Y 1..
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