Coordinate Geometry Question 54
Question: If the points $ A(6,-1),\ B(1,3) $ and $ C(x,8) $ be such that $ AB=BC, $ then $ x= $
Options:
A) - 3, 5
B) 3, - 5
C) - 3, - 5
D) 3, 5
Show Answer
Answer:
Correct Answer: A
Solution:
$ AB=BC\Rightarrow {{(6-1)}^{2}}+{{(3+1)}^{2}}={{(x-1)}^{2}}+{{(8-3)}^{2}} $
$ \Rightarrow {{(x-1)}^{2}}-{{(4)}^{2}}=0\Rightarrow x=5,-3 $ .
BETA
