Circles Test 2...

The equation of the circle passing through the points $$(4, 1), (6, 5)$$ and having the centre on the line $$4x+y-16=0$$ is 

Equation of the circle which is such that the lengths of the tangents to it from the points  $$( 1,0 ) , ( 0,2 )$$  and  $$( 3,2 )$$  are  $$1 , \sqrt { 7 }$$  and  $$\sqrt { 2 }$$  respectively is

The radius of circle $$x^2+y^2-6x-8y=0$$

If the circle $$x^{2}+y^{2}=9$$ passesthrough $$(2,c)$$ then $$c$$ is equal to 

The equation to the circle which touches the axis of y at the origin and passes through $$(3, 4)$$ is?

The image of the circle $$(x - 3)^2 + (y - 2)^2 = 1$$ in the line mirror $$ax + by = 19$$ is $$(x - 1)^2 + (y - 16)^2 = 1$$ then values of (a, b) is

The equation of the circle which touches the axis of y at a distance $$+4$$ from the origin and cuts off an intercept $$6$$ from the $$+ve$$ direction of x-axis is

The equation of the circle passing through the origin and making intercept $$4,5$$ on the positive coordinates axes is 

The equation of circle center at $$(0,0)$$ and Radius $$8cm$$

A circle of radius $$'5'$$ touches the coordinate axes in the first quadrant. If the circle makes one complete roll on x-axis along the positive direction, then its equation in new position is