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Two vertices of a triangle are A(2,1) and B(3,-2) . The third vertex C lies on the line y = x + 9 , the centroid of Triangle ABC lies on y-axis, find the Co-ordinate of C

Two vertices of a triangle are A(2,1) and B(3,-2) . The third vertex C lies on the line y = x + 9 , the centroid of Triangle ABC lies on y-axis, find the Co-ordinate of C
 

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Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
Dear Ankit
 
let C = (x , x + 9)
 
Now centroid = (5 + x/3 ,  – 1 + x + 9/3)
 
it lies on y coordinate
hence
 
5 + x / 3 = 0
 
5 + x = 0
x = – 5
 
hence
 
y = 4
 
C : ( – 5, 4)
 
regards
Arun

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