Obtaining Centre and Radius of a Circle from General Equation of a Circle
The centres o...
Question
The centres of the circles x2+y2=1,x2+y2+6x−2y=1 and x2+y2−12x+4y=1 are
A
Same
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B
Collinear
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C
Non-collinear
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D
None of these
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Solution
The correct option is B Collinear Centres are (0, 0), (–3, 1) and (6, –2) and a line passing through any two points say (0, 0) and (–3, 1) is −13x and point (6, –2) lies on it. Hence points are collinear.