Circles Test 1...

If a circle with centre $$(0,0)$$ touches the line $$5x+12y=1$$ then it equation will be

The equation of the circle in the first quadrature touching each coordinate axis at a distance of one unit from the origin 

A circle has its centre on the $$y-axis$$ and passes through the origin, touches another circle with centre $$(2,2)$$ and radius 2, then the radius of the circle is 

The equation of the circle which circumscribes the triangle formed by the lines x + y + 3 = 0, x - y + 1 =0 and x = 3 is 

The equation of the circle which touches x-axis and whose center is (1,2) is 

The parametric form of the equation of the circle $${ x }^{ 2 }+{ y }^{ 2 }=9$$ is:

The equation of a circle with centre at $$(1, -2)$$ and passing through the centre of the given circle $$x^2+y^2+2y-3=0$$, is?

The equation of circle whose centre is $$(1, -3)$$ and which touches the line $$2x-y-4=0$$, is

$$ABCD$$ is a square with side $$a$$. If $$AB$$ and $$AD$$ are taken as positive coordinate axes then equation of circle circumscribing the square is

The circle passing through $$\left(t,1\right),\left(1,t\right)$$ and $$\left(t,t\right)$$ for all values of $$t$$ also passes through