Exams › SSC CGL (Prelims) › General

The centroid of triangle ABC is G(2, 4). If A is (5, 2) and B is (-1, 6), find the coordinates of C.

1. (2, 4)
2. (3, 5)
3. (2, 3)
4. (4, 4)

Correct answer: (2, 4)

Solution

For a triangle with vertices A(x1,y1), B(x2,y2), C(x3,y3), the centroid is \(\left(\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3}\right)\). Using G(2,4), A(5,2), and B(-1,6), solve for C. The coordinates come out to (2,4).

Related SSC CGL (Prelims) General questions

• What is the equation of a line passing through \((0,4)\) with slope \(-2\)?
• What is the slope of the line perpendicular to $y = 5x - 8$?
• Which line has slope \(-2\) and passes through \((3,5)\)?
• A line \(L\) is the perpendicular bisector of the line segment joining points \(P(4,6)\) and \(Q(10,2)\). What is the y-intercept of line \(L\)?
• Find the slope of the line $4x - 5y = 10$.
• Find the equation of the perpendicular bisector of the line segment joining the points $(1,5)$ and $(5,9)$.

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