Coordinate Geometry Question 63
Question: The points which trisect the line segment joining the points (0, 0) and (9, 12) are
[RPET 1986]
Options:
A) (3, 4), (6, 8)
B) (4, 3), (6, 8)
C) (4, 3), (8, 6)
D) (3, 4), (8, 6)
Show Answer
Answer:
Correct Answer: A
Solution:
Let the point be (x, y) (i) Point B (x, y) divides AD in 1 : 2
$ \therefore x=\frac{0+9}{3}=3 $ and $ y=\frac{0+12}{3}=4 $ (ii) Now point C (x, y) divides AD in 2 : 1, Then $ x=\frac{0+18}{3}=6 $ and $ y=\frac{0+24}{3}=8 $ .
BETA
