Question

Verify whether the points (-2,3), (4,2) and (10,1) are collinear or not​

Answer 1

Answer:

I think it's not collinear

Step-by-step explanation:

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Answer 2

The points (-2,3), (4,2) and (10,1) are collinear.

Given : Coordinates of the given points are,(-2,3), (4,2) and (10,1)

To find : The given points are collinear or not.

Solution :

We can simply solve this mathematical problem by using the following of process.

We have to calculate the area of the triangle formed by the given three points. If the area of that triangle comes out to be zero, then we can say that the given three points are collinear.

The coordinates of the three points are

• (-2,3) = X1,Y1
• (4,2) = X2,Y2
• (10,1) = X3,Y3

So, area of the triangle formed by the three points will be :

= = ½ {X1(Y2-Y3) + X2(Y3-Y1) + X3(Y1-Y2)}

= ½ {(-2) (2-1) + (4) (1-3) + (10) (3-2)}

= ½ × (-2-8+10)

= ½ × 0

= 0 sq. units

Now, the area of the triangle formed by the three points = 0

Hence, the points (-2,3), (4,2) and (10,1) are collinear.