Three Dimensional Geometry Question 89
Question: The plane $ \frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3 $ meets the co-ordinate axes in $ A,B,C $ . The centroid of the triangle ABC is
[DCE 2005]
Options:
A) $ ( \frac{a}{3},\frac{b}{3},\frac{c}{3} ) $
B) $ ( \frac{3}{a},\frac{3}{b},\frac{3}{c} ) $
C) $ ( \frac{1}{a},\frac{1}{b},\frac{1}{c} ) $
D) $ (a,b,c) $
Show Answer
Answer:
Correct Answer: D
Solution:
Obviously, co-ordinates of A, B, C are respectively $ (3a,0,0), $ $ (0,3b,0) $ and $ (0,0,3c). $ Hence centroid is $ (a,b,c). $
BETA
