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  9. Q256

SSC Selection Post (Phase XIV) 2025 · Question 256 of 284

In a triangle ABC, centroid is at (4, 2). Two vertices are (2, 5) and (6, -1). Find the third vertex.

geometry

  1. A(4, 2)Correct
  2. B(3, 2)
  3. C(4, 3)
  4. D(4, 1)

Answer: A. (4, 2)

Explanation

​Given: Centroid G(4, 2) A(2, 5), B(6, −1), C(x, y) Formula Used: x1 + x2 + x3 y1 + y2 + y3 Copyright © 2026 Adda247 Gx = , Gy = ​ ​ ​ ​ ​ ​ 3 3 ​ ​ ​ ​ Solution: 2+6+x 4= ⟹ 12 = 8 + x ⟹ x = 4 3 ​ 5−1+y 2= ⟹ 6=4+y ⟹ y =2 3 ​ Third vertex = (4, 2) Final Answer (4, 2)​

Source: SSC Selection Post (Graduation) Similar Paper (Held on 25 Jul 2025 S3) — Adda247/CareerPower memory-based reconstruction with answers and solutions · memory-based

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