Circle And System Of Circles Question 210
Question: The four distinct points (0, 0),(2, 0), (0, -2) and (k, -2)are con-cyclic, if k =
[EAMCET 2002]
Options:
A) - 2
B) 2
C) 1
D) 0
Show Answer
Answer:
Correct Answer: B
Solution:
The equation of circle passing through $ (0,,0),(2,,0) $ and (0, - 2) is $ x^{2}+y^{2}-2x+2y=0 $ . If it passes through $ (k,,-2) $ , then $ k^{2}+4-2k-4=0 $
$ \Rightarrow ,k=0,,2 $
$ \because $ $ (0,,-2) $ is already a point on circle
$ \therefore $ k = 2.
BETA
