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

At origin

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On x-axis

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On y-axis

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None of these

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Solution

The correct option is B
On x-axis

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

Hence, centroid lies on x - axis.

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