Coordinate Geometry Question 126
Question: If the points $ (k,3),(2,k),(-k,3) $ are collinear, then the values of k are
[Kerala(Engg.) 2005]
Options:
A) 2, 3
B) 1, 0
C) 1, 2
D) 1, -1/2
E) (e) 0, 3
Show Answer
Answer:
Correct Answer: E
Solution:
(e) If points $ (k,3),(2,k) $ and $ (-k,3) $ are collinear then, $ [k(k-3)+2(3-3)-k(3-k)]=0 $
therefore $ [k(k-3)+0+k(k-3)=0 $
therefore $ 2k(k-3)=0 $
therefore $ k=0,3 $ .
BETA
