Question

4. Are the points A(a, b + c), B(b, c + a) and C(c, a + b) collinear ?​

Answer 1

Answer:

The points are A(a,b+c), B(b,c+a), C(c,a+b)

If the area of triangle is zero then the points are called collinear points.

if three points (x

1

,y

1

), (x

2

,y

2

), (x

3

,y

3

) are collinear then :

[x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)]=0

[a(c+a−a−b)+b(a+b−b−c)+c(b+c−c−a)]=0

[ac−ab+ab−bc+bc−ac]=0

=0

The points A(a,b+c), B(b,c+a), C(c,a+b) are collinear.

Step-by-step explanation:

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