Coordinate Geometry Question 6
Question: If coordinates of the points A and B are (2, 4) and (4, 2) respectively and point M is such that A-M-B also AB = 3 AM, then the coordinates of M are
Options:
A) $ ( \frac{8}{3},\frac{10}{3} ) $
B) $ ( \frac{10}{3},\frac{14}{4} ) $
C) $ ( \frac{10}{3},\frac{6}{3} ) $
D) $ ( \frac{13}{4},\frac{10}{4} ) $
Show Answer
Answer:
Correct Answer: A
Solution:
Since $ AB=3AM $
$ \Rightarrow AM+MB=3AM\Rightarrow MB=2AM $
Hence ratio $ AM:MB=1:2 $ Therefore the point $ M( \frac{8}{3},\frac{10}{3} ) $ .
BETA
