Questions in circle

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Centre of circle $(x-{{x}_{1}})(x-{{x}_{2}})$ $+(y-{{y}_{1}})(y-{{y}_{2}})$ $=0$ is
ABC is a triangle in which angle C is a right angle. If the coordinates of A and B be (–3, 4) and (3, –4) respectively, then the equation of the circumcircle of triangle ABC is
The equation of the circle in the first quadrant touching each coordinate axis at a distance of one unit from the origin is
The number of circles touching the line $y-x=0$ and the y-axis is
The equation of the circle passing through the point $(-1,\ -3)$ and touching the line $4x+3y-12=0$ at the point (3, 0), is
If the vertices of a triangle be $(2,\ -2)$ , $(-1,\ -1)$ and (5, 2), then the equation of its circumcircle is
The equation of a circle which touches both axes and the line $3x-4y+8=0$ and whose centre lies in the third quadrant is
If one end of a diameter of the circle ${{x}^{2}}+{{y}^{2}}-4x-6y+11=0$ be (3, 4), then the other end is
If the equation $p{{x}^{2}}+(2-q)xy+3{{y}^{2}}$ $-6qx+30y+6q=0$ represents a circle, then the values of p and q are
The equation of the circle passing through the origin and cutting intercepts of length 3 and 4 units from the positive axes, is

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