A. Sin-1 5/13

B. Sin-1 5/12

C. Sin-1 12/13

D. π/2

If the circle x<sup>2</sup> + y<sup>2</sup> + 2x + 3y + 1 = 0 cuts another circle x<sup>2</sup>+y<sup>2</sup> + 4x + 3y + 2 = 0 in A and B, then the equation of the circle with AB as a diameter is :<br>

The extremities of a diameter of a circle have coordinates (-4, -3) and (2, -1). The length of the segment cut off by the circle on y-axis is

The number of common tangents to the two circles x^{2}+y^{2}-x=0, x^{2}+y^{2}+x=0 is

The centres of similitude of the circles x^{2}+y^{2}-2x-6y+9=0, x^{2}+y^{2}=1 is

The inverse point of (1, 2) with respect to the circle x^{2}+y^{2}-4x-6y+9=0 is