Questions in circle

Select	Question
	A square is inscribed in the circle ${{x}^{2}}+{{y}^{2}}-2x+4y+3=0$ , whose sides are parallel to the coordinate axes. One vertex of the square is
	If the line $x+2by+7=0$ is a diameter of the circle ${{x}^{2}}+{{y}^{2}}-6x+2y=0$ , then $b=$
	For all values of $\theta$ , the locus of the point of intersection of the lines $x\cos \theta +y\sin \theta =a$ and $x\sin \theta -y\cos \theta =b$ is
	If a circle whose centre is (1, –3) touches the line $3x-4y-5=0$ , then the radius of the circle is
	If the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ touches x-axis, then
	The equation of the circle which touches both the axes and whose radius is a, is
	The area of the circle whose centre is at (1, 2) and which passes through the point (4, 6) is
	The centres of the circles ${{x}^{2}}+{{y}^{2}}=1$ , ${{x}^{2}}+{{y}^{2}}+6x-2y=1$ and ${{x}^{2}}+{{y}^{2}}-12x+4y=1$ are
	If a circle passes through the point (0, 0), (a, 0), (0, b), then its centre is
	The equation of the circle whose centre is (1, –3) and which touches the line $2x-y-4=0$ is

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