Questions in circle

Select	Question
	Equations to the circles which touch the lines $3x-4y+1=0$ , $4x+3y-7=0$ and pass through (2, 3) are
	The equation of the circle in the first quadrant which touches each axis at a distance 5 from the origin is
	The equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible, is
	The equation of the circumcircle of the triangle formed by the lines $x=0,y=0,2x+3y=5$ is
	If $(\alpha ,\beta )$ is the centre of a circle passing through the origin, then its equation is
	The equation $2{{x}^{2}}+2{{y}^{2}}+4x+8y+15=0$ represents
	The equation of the circle whose diameter lies on $2x+3y=3$ and $16x-y=4$ which passes through (4,6) is
	The area of the curve ${{x}^{2}}+{{y}^{2}}=2ax$ is
	Radius of the circle $(x-1)(x-3)+(y-2)(y-4)$ $=0$ is
	The equation of circle whose centre lies on $3x-y-4=0$ and$x+3y+2=0$ and has an area 154 square units is