Question

what is collinear formulae

Answer 1

Answer:

√(x₂ - x₁) ² + (y₂ - y₁) ²

Distance between the points A and B = √(x₂ - x₁) ² + (y₂ - y₁) ²

Step-by-step explanation:

Answer 2

REQUIRED ANSWER :

: $\implies$There are three methods to find the collinear points are :-

❑ Distance Formula

$\mapsto$ Using Distance Formula

If P, Q and R are three collinear points, then,

Distance from P to Q + Distance from Q to R = Distance from P to R

PQ + QR = PR

❑ Slope Formula

$\mapsto$ Three or more points are said to be collinear if the slope of any two pairs of points is the same. The slope of the line basically measures the steepness of the line.

Suppose, X, Y and Z are the three points, with which we can form three sets of pairs, such that, XY, YZ and XZ are three pairs of points. Then, as per the slope formula,

❑ Area of triangle

$\mapsto$ If the area of triangle formed by three points is zero, then they are said to be collinear. It means that if three points are collinear, then they cannot form a triangle.

: $\implies$ if three points are collinear then slope of points formed by these points are equal.

: $\implies$ When two or more points lie on the same line, they are called collinear points.