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From the point A(0,3) on the circle x^2 ...

From the point A(0,3) on the circle `x^2 +4x + (y-3)^2 = 0 ` a chord AB is drawn to a point such that AM = 2AB. The equation of the locus of M is :-

A

`x ^(2) + y^(2)-8x- 6y + 9=0`

B

`x ^(2) + y ^(2) = 8x + 6y+ 9=0`

C

`x ^(2) + y ^(2) + 8x - 6y + 9=0`

D

`x ^(2) + y^(2) -8x + 6y + 9=0`

Text Solution

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The correct Answer is:
C
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