Coordinate Geometry Question 1

Question: If the vertices of a triangle be $ (a,b-c),(b,c-a) $ and $ (c,a-b) $ , then the centroid of the triangle lies

Options:

A) At origin

B) On x-axis

C) On y-axis

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ x=\frac{a+b+c}{3},y=\frac{b-c+c-a+a-b}{3}=0 $

Hence, centroid lies on x-axis.