Condition of Collinearity of Three-Point

Conditions of Collinear points are discussed as three or more lines which are mainly the same straight lines. In addition, in geometry, the set of points are mainly lying on a single line. It cannot properly be said as collinear lines, it can link as line or row. In general, the three lines can be discussed such as parallel, perpendicular, intersection, etc. In those slopes, lines are interconnected and some slopes. As it is already discussed that slopes have two types of parallel lines and which are equal. In addition, if two lines in parallel have the same slope then those two lines will mostly coincide. 

Discussion

The formula of Collinear points

The formula of collinear points is mainly divided into three parts such as slope, area of a triangle, and also distance formula. In addition, the slope formula mainly defines and discusses slope and under some 3 points with consideration in which if the three slopes can equal then all three slopes are stated as collinear. Therefore, the point is discussed as the slope of joining through “P(x1, y1) and Q(x2, y2)”. In this essential method, the triangle formula cannot be formed by these three collinear points which do not form a triangle. Therefore, every slope needs to check all points to create a formula that helps to create an area of a triangle. Additionally, if this area is stated as 0 then it will be considered and also counted as collinear. In other words, the triangle is mainly made by three points that do not have a direct and exact area since it can be made through joining three lines and creating them through this formula. Moreover, the formula of a triangle includes a given point such as “A=(x1, y1), B=(x2, y2), and C=(x3, y3)”. Moreover, the formula of all collinear points using this formula of distance can help to understand the distance between two lines and help to understand the main slope. It also helps to understand the distance between the first to the second point and also gives a way to understand the distance between the second and third points. Additionally, at the end of the discussion and finding the distance between three of them it is mainly considered what is the main distance between a first point and third point. Apart from this, to calculate and measure a distance in two points this distance formula is mainly used. Examples of distance in two points such as “A=(x1, y1) and  B=(x2, y2)”. All formulas of collinear help to find the three main points and discuss their importance in this condition of collinearity points. 

Tips on collinear points 

• Three points must be collinear and they also need to be in the same straight line which can help to get an easy way of using formulas. 
• These all properties of points mainly are considered as collinearity with appropriate formulas. Tips help to set three points of collinearity and also through some formulas and approaches. 
• This point mainly exists on numerous planes and is maintained through three formulas which can help to formulate straight. 

Determination of points 

Determination of points such as collinear points helps to draw a straight line that lies in the same line. In other words, the way which can help to determine formulas such as “Using Distance Formula, Slope Method, Area of Triangle Method ”. In geometry, there are three or more points that can be collinear and if they all lie in a single straight line they can be called a collinear line. In addition, formulas of collinearity discuss as “A (a1, b1), B (a2, b2) and C (a3, b3) are collinear, then [a1(b2 – b3) + a2( b3 – b1)+ a3(b1 – b2)] = 0″. Another example such as in if X, Y, Z are three collinear points then XY+YZ= XZ and that is the main result of collinear points. After measuring determinants of all points if it results as zero then they will be considered as collinear points. In addition, as per Euclidean geometry, all collinear points must be proved and measured by a line segment. The determination of all three points helps to understand its value and also determine all methods which support these three points in a straight way which is called collinear points and also through some examples it can be discussed easily. 

Conclusions

In this context, this topic mainly discussed conditions of collinear points which can be discussed mainly through three or four lines. In addition, it is also discussed through slopes which are interconnected with each other and also equal. Moreover, this study also discussed how to find some collinear points in mathematics in which it discussed mainly three formulas. Here also discussed tips on collinear formulas which helps to understand all-important in this study. In addition, this section also discusses tips on collinear points which help to develop and create the main result. After all execution, there is also using some formulas and methods which can help to measure collinear points.