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^2=0`

A chord AB is drawn from the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0 , and is extended to M such that AM=2AB. The locus of M is

The circle x ^(2) +y^(2) -8 x+4=0 touches -

The point (2, -1) ________ the circle x^(2) + y^(2) - 4x + 6y + 8 = 0 .

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0

The circle x^2 + y^2 - 8x + 4y +4 = 0 touches

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

The equation of the tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,1) is

Find the centre and the radius of the circle. 2x^2+2y^2-4x+8y-4=0