prove that the following points are colinear.
A) ( a,b+c),b,c+a),(c,a+b)
Answers
Answered by
2
Answer:
They are collinear
Explanation:
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.
Answered by
0
Answer:
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Explanation:
Given: A(a, b + c), B(b, c + a) and C(c, a + b)
To prove : Given points are collinear
We know the points are collinear if area(∆ABC) =0
Attachments:
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