Question

Three points, A,B and C, are collinear. Depict this statement through an appropriate figure.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\textsc{WHAT ARE COLLINEAR POINTS ? }$

Three or more points that lie on a same straight line are called collinear points.

$\textsc{HOW TO FIND IF THREE POINTS ARE COLLINEAR ? }$

There are two methods to find if three points are collinear.

One is slope formula method and the other is area of triangle method.

Slope formula method to find that points are collinear

• Three or more points are collinear, if slope of any two pairs of points is same.
• With three points A, B and C, three pairs of points can be formed, they are: AB, BC and AC.
• If Slope of AB = slope of BC = slope of AC, then A, B and C are collinear points.

Area of triangle method to find if three points are collinear.

• Three points are collinear if the value of area of triangle formed by the three points is zero.
• Apply the coordinates of the given three points in the area of triangle formula.

• If the result for area is zero, then the given points are said to be collinear.

area of triangle formula(A)

= (1/2) [x1 (y2 – y3 ) + x2 (y3 – y1 ) + x3(y1 – y2)]

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