Coordinate Geometry Question 65
Question: If two vertices of a triangle are (6,4), (2,6) and its centroid is (4, 6), then the third vertex is
[RPET 1996]
Options:
A) (4, 8)
B) (8, 4)
C) (6, 4)
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ x=\frac{x_1+x_2+x_3}{3},y=\frac{y_1+y_2+y_3}{3} $
$ \therefore 4=\frac{6+2+x_3}{3},6=\frac{4+6+y_3}{3} $
$ \Rightarrow x_3=4,y_3=8 $
$ \therefore $ Third vertex is (4, 8).
BETA
