The line x + 3y = 0 is a diameter of the circle x2 + y2 + 6x + 2y = 0.
False
Given equation of the circle is x2+y2+6x+2y=0
Centre=(-3,-1)
Clearly, it does not lie on the line x+3y=0 as-3+3(-1)=-6
So this line is not the diameter of the circle
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