From the point A (0, 3) on the circle `x^2+4x+(y-3)^2=0` a chord AB is drawn & extended to a M point such that AM=2AB. The equation of the locus of M is: (A)`x^2 +8x+y^2 =0` (B)`x^2+8x+(y-3)^2=0` (C)`(x-3)^2+8x+y^2=0` (D)`x^2+8x+8y^=0`

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 :-

Find the centre and radius of the circle 3x^2 + 3y^2 - 8x - 10y + 3=0

Find the equations of the tangents to the circle x^(2)+y^(2)+2x+8y-23=0, which are drawn from the point (8,-3)

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

The equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0 and x^2 + y^2 + 2x - 6y - 6=0 and having its centre on y=0 is : (A) 2x^2 + 2y^2 + 8x + 3 = 0 (B) 2x^2 + 2y^2 - 8x - 3 = 0 (C) 2x^2 + 2y^2 - 8x + 3 = 0 (D) none of these

The point of tangency of the circles x^(2)+y^(2)-2x-4y=0 and x^(2)+y^(2)-8y-4=0 is

The equation of the parabola whose focus is (4,-3) and vertex is (4,-1) is. (A) x^(2)+ 8x+8y – 24 = 0 (B) y^(2) + 8x -8y + 24 = 0 (C) x^(2) – 8x+8y + 24 = 0 (D) y^(2) +8x+8y-24 = 0