The centres of the circles x2+y2=1,x2+y2+6x−2y=1 and x2+y2−12x+4y=1 are
Options:
A .  
same
B .  
Collinear
C .  
Non–collinear
D .  
None of these
Answer: Option B : B Centre are (0, 0), (-3, 1) and (6, -2) and a line passing through any two points say (0, 0) and (-3, 1) is y=−13x and point (6, -2) lies on it. Hence points are collinear.
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