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SSC CGL 2025 PYQ — Question 53

SSC CGL - 21 Sep 2025 - Shift 1 • Quantitative Aptitude • Q53

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In a triangle with vertices P(x, y), Q(5, -1), and R(2, 6), the Centroid is at G(4, 2). What are the coordinates of vertex P?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. (5, 1).

Centroid(G) = (x1+x2+x33{x_1+x_2+x_3}\over3, y1+y2+y33{y_1+y_2+y_3}\over3)

(x+5+23{x+5+2}\over3, y−1+63{y-1+6}\over3) = (4, 2)

So,

x+73x + 7\over3 = 4

⇒ x + 7 = 12

⇒ x = 5

y+53y + 5\over3 = 2

⇒ y + 5 = 6

⇒ y = 1

So, (x, y) = (5, 1)