Coordinate Geometry Question 15
Question: The centroid of a triangle is (2, 7) and two of its vertices are (4, 8) and (-2, 6). The third vertex is
[Kerala (Engg.) 2002]
Options:
A) (0, 0)
B) (4, 7)
C) (7, 4)
D) (7, 7)
Show Answer
Answer:
Correct Answer: B
Solution:
Let the third vertex be (x, y), then $ \frac{x+4+(-2)}{3}= $ 2
$ \Rightarrow x=4 $
$ \frac{y+8+6}{3}=7 $
$ \Rightarrow y=7 $
$ \therefore $ Third vertex (x, y) is (4, 7).
BETA
