Questions in circle

Select	Question
	The equation of a circle that intersects the circle ${{x}^{2}}+{{y}^{2}}+14x+6y+2=0$ orthogonally and whose centre is (0, 2) is
	If the circles ${{x}^{2}}+{{y}^{2}}=4,{{x}^{2}}+{{y}^{2}}-10x+\lambda =0$ touch externally, then $\lambda $ is equal to
	In the co-axial system of circle ${{x}^{2}}+{{y}^{2}}+2gx+c=0$ , where g is a parameter, if $c>0$ then the circles are
	If the straight line $y=mx$ is outside the circle ${{x}^{2}}+{{y}^{2}}-20y+90=0$ , then
	The equation of radical axis of the circles $2{{x}^{2}}+2{{y}^{2}}-7x=0$ and ${{x}^{2}}+{{y}^{2}}-4y-7=0$ is
	The equation of the circle which passes through the intersection of ${{x}^{2}}+{{y}^{2}}+13x-3y=0$ and $2{{x}^{2}}+2{{y}^{2}}+4x-7y-25=0$ and whose centre lies on $13x+30y=0$ is
	The radical centre of the circles ${{x}^{2}}+{{y}^{2}}-16x+60=0,\,{{x}^{2}}+{{y}^{2}}-12x+27=0,$ ${{x}^{2}}+{{y}^{2}}-12y+8=0$ is
	The radical axis of two circles and the line joining their centres are
	The two circles ${{x}^{2}}+{{y}^{2}}-2x+6y+6=0$ and ${{x}^{2}}+{{y}^{2}}-5x+6y+15=0$
	The locus of the centre of a circle which cuts orthogonally the circle ${{x}^{2}}+{{y}^{2}}-20x+4=0$ and which touches $x=2$ is