Question

akhila says points A(1,3),B(2,2),C(5,1) are collinear. do you agree with akhila?why?​

Answer 1

1/2|1(2-1)+2(1-3)+5(3-2)|=0

1(1)+2(-2)+5(1)=0

1-4+5=0

2 is not equal to 0 so,I don't agree with Akhila.

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Answer 2

No, we are not agree with Akhila.

Step-by-step explanation:

Given : Akhila says points A(1,3),B(2,2),C(5,1) are collinear.

To find : Do you agree with akhila?why?​

Solution :  

When three points are collinear then the condition is  

$x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) = 0$

If Akhila point satisfy this condition then we are agree with Akhila otherwise not.

Here, $x_1 =1, x_2 =2,x_3 = 5, y_1 = 3, y_2 =2, y_3 =1$

Substituting the values,

$1(2-1) +2(1- 3) +5(3 - 2) = 0$

$1+2(-2)+5(1)= 0$

$1-4+5= 0$

$2\neq0$

Akhila points are not collinear.

Therefore, No we are not agree with Akhila.

#Learn more

Verify that whether the points (1, 5), (2, 3) and (-2, -1) are collinear or not

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