Multiple choice

If A (4, -3); B (3, -2) and C(2, 8) are vertices of a triangle, then the distance of its centroid from y- axis is -

  1. 9/2

  2. 1

  3. 3

  4. 1/2
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C Correct answer
Explanation

Centroid G = ((x1+x2+x3)/3, (y1+y2+y3)/3) = ((4+3+2)/3, (-3-2+8)/3) = (9/3, 3/3) = (3, 1). The distance of (3, 1) from the y-axis is the absolute value of the x-coordinate, which is 3.

AI explanation

We first find the x-coordinate of the triangle's centroid by averaging the x-coordinates of its vertices, which is (4 + 3 + 2) / 3 = 3. The distance of any point from the y-axis is given by the absolute value of its x-coordinate. Therefore, the distance of the centroid from the y-axis is 3.

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