Questions in circle

Select	Question
	The equation of the circle which passes through the points $(3,\ -2)$ and $(-2,\ 0)$ and centre lies on the line $2x-y=3$ , is
	The locus of the centre of a circle of radius 2 which rolls on the outside of circle ${{x}^{2}}+{{y}^{2}}+3x-6y-9=0$ , is
	Area of the circle in which a chord of length $\sqrt{2}$ makes an angle $\frac{\pi }{2}$ at the centre is
	The circle passing through point of intersection of the circle $S=0$ and the line $P=0$ is
	If the coordinates of one end of the diameter of the circle ${{x}^{2}}+{{y}^{2}}-8x-4y+c=0$ are (–3, 2), then the coordinates of other end are
	For $a{{x}^{2}}+2hxy+3{{y}^{2}}+4x+8y-6=0$ to represent a circle, one must have
	A line is drawn through a fixed point $P(\alpha ,\ \beta )$ to cut the circle ${{x}^{2}}+{{y}^{2}}={{r}^{2}}$ at A and B. Then $PA\ .\ PB$ is equal to
	The centre of the circle $x=-1+2\cos \theta $ , $y=3+2\sin \theta $ , is
	If (x, 3) and (3, 5) are the extremities of a diameter of a circle with centre at $(2,\ y)$ , then the value of x and y are
	Circles are drawn through the point (2, 0) to cut intercept of length 5 units on the x-axis. If their centres lie in the first quadrant, then their equation is