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Question

In â–³ABC , G(-4, -7) is the centroid. If the coordinates of A and B are (-14, -19) and (3, 5) respectively, then find the co-ordinates of C.

A
(-1, 7)
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B
(-1, -7)
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C
(-2, -7)
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D
(1, 7)
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Solution

The correct option is B (-1, -7)
Given:
Centroid, G(4,7)
Vertex, A(14,19) & B(3,5)

Let the Co-ordinates of C be (x3, y3)
x1=14, x2=3, y1=19 & y2=5

Centroid
G(4,7)=(x1+x2+x33,y1+y2+y33)

14+3+x33=4
x311=12x3=1

and 19+5+y33=7
y314=21y3=7

Co-ordinates of C are (1,7)

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