Number of Straight Lines using Non Collinear Points Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Straight Lines = C(Number of Non Collinear Points,2)
NLines = C(NNon Collinear,2)
This formula uses 1 Functions, 2 Variables
Functions Used
C - In combinatorics, the binomial coefficient is a way to represent the number of ways to choose a subset of objects from a larger set. It is also known as the "n choose k" tool., C(n,k)
Variables Used
Number of Straight Lines - Number of Straight Lines is the total count of straight Lines that can be formed under some given criteria.
Number of Non Collinear Points - Number of Non Collinear Points is the total count of points in the two dimensional plane in a problem, which are pairwise non-collinear.
STEP 1: Convert Input(s) to Base Unit
Number of Non Collinear Points: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NLines = C(NNon Collinear,2) --> C(9,2)
Evaluating ... ...
NLines = 36
STEP 3: Convert Result to Output's Unit
36 --> No Conversion Required
FINAL ANSWER
36 <-- Number of Straight Lines
(Calculation completed in 00.004 seconds)

Credits

Created by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
Anamika Mittal has created this Calculator and 50+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
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4 Line Calculators

Shortest Distance of Arbitrary Point from Line
Go Shortest Distance of a Point from Line = modulus(((X Coefficient of Line*X Coordinate of Arbitrary Point)+(Y Coefficient of Line*Y Coordinate of Arbitrary Point)+Constant Term of Line)/sqrt((X Coefficient of Line^2)+(Y Coefficient of Line^2)))
Shortest Distance of Line from Origin
Go Shortest Distance of Line from Origin = modulus(Constant Term of Line/sqrt((X Coefficient of Line^2)+(Y Coefficient of Line^2)))
Number of Straight Lines using Non Collinear Points
Go Number of Straight Lines = C(Number of Non Collinear Points,2)
X Coefficient of Line given Slope
Go X Coefficient of Line = -(Y Coefficient of Line*Slope of Line)

Number of Straight Lines using Non Collinear Points Formula

Number of Straight Lines = C(Number of Non Collinear Points,2)
NLines = C(NNon Collinear,2)

What is a Line?

A Line in two dimensional plane is the infinite extension of the line segment joining two arbitrary points, in both directions. In a Line for any two arbitrary points, the ratio of difference of y coordinates to the difference of x coordinates in a specific order is a constant value. That value is called the slope of that Line. Every Line has a slope, which can be any real number - positive or negative or zero.

How to Calculate Number of Straight Lines using Non Collinear Points?

Number of Straight Lines using Non Collinear Points calculator uses Number of Straight Lines = C(Number of Non Collinear Points,2) to calculate the Number of Straight Lines, Number of Straight Lines using Non Collinear Points formula is defined as the total count of Straight Lines that can be formed under some given criteria. Number of Straight Lines is denoted by NLines symbol.

How to calculate Number of Straight Lines using Non Collinear Points using this online calculator? To use this online calculator for Number of Straight Lines using Non Collinear Points, enter Number of Non Collinear Points (NNon Collinear) and hit the calculate button. Here is how the Number of Straight Lines using Non Collinear Points calculation can be explained with given input values -> 36 = C(9,2).

FAQ

What is Number of Straight Lines using Non Collinear Points?
Number of Straight Lines using Non Collinear Points formula is defined as the total count of Straight Lines that can be formed under some given criteria and is represented as NLines = C(NNon Collinear,2) or Number of Straight Lines = C(Number of Non Collinear Points,2). Number of Non Collinear Points is the total count of points in the two dimensional plane in a problem, which are pairwise non-collinear.
How to calculate Number of Straight Lines using Non Collinear Points?
Number of Straight Lines using Non Collinear Points formula is defined as the total count of Straight Lines that can be formed under some given criteria is calculated using Number of Straight Lines = C(Number of Non Collinear Points,2). To calculate Number of Straight Lines using Non Collinear Points, you need Number of Non Collinear Points (NNon Collinear). With our tool, you need to enter the respective value for Number of Non Collinear Points and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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