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

This is the equation of given circle



So, centre is (-2,3) and radius = 2

Now Let M(h,k)
AM=2AB

Now B is the midpoint of A and M
So

Now we know that

apply this condition and you will get the ans