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Question

The centres of the circles x2+y2=1, x2+y2+6x2y=1 and x2+y212x+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
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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