Circle And System Of Circles Question 92
Question: The centres of the circles $ x^{2}+y^{2}=1 $ , $ x^{2}+y^{2}+6x-2y=1 $ and $ x^{2}+y^{2}-12x+4y=1 $ are
[MP PET 1986]
Options:
A) Same
B) Collinear
C) Non-collinear
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Centres are (0, 0), (-3, 1) and (6, -2) and a line passing through any two points say (0, 0) and (-3, 1) is $ y=-\frac{1}{3}x $ and point (6,-2) lies on it.
Hence points are collinear.
BETA
