Question

maths 2 stateboard maharashtra........explain eith solution​

Answer 1

Answer:

How to determine if points are collinear using distance formula :

Let A, B and C be the three points.

We have to find the three lengths AB, BC and AC among the given three points A, B and C.

The three points A, B and C are collinear, if the sum of the lengths of any two line segments among AB, BC and AC is equal to the length of the remaining line segment.

That is,

AB + BC = AC

(or)

AB + AC = BC

(or)

AC + BC = AB

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Answer 2

Answer:

Step-by-step explanation:

Let there be three point A(x1,y1), B(x2,y2), C(x3,y3)

Distance AB = $\sqrt{(x2-x1)+(y2-y1)}$

Distance BC = $\sqrt{(x3-x2)+(y3-y2)}$

Distance AC = $\sqrt{(x3-x1)+(y3-y1)}$

Now if AB+BC = AC then A,B,C are said to be Collinear.