Circles Test 1...

The radius of the circle $$x^2+y^2-5x+2y+5=0$$ is

The equation of the circle passing through $$(3,6)$$ and whose centre is $$(2,-1)$$ is 

Cantres of the three circles
$$x^{2}+y^{2}-4x-6y-14=0$$
$$x^{2}+y^{2}+2x+4y-5=0$$
and $$x^{2}+y^{2}-10x-16y+7=0$$

The centre of the circle $$(x-a)(x-b)+(y-c)(y-c)=0$$ is 

If a be the radius of a circle which touches x-axis at the origin, then its equation is

Equation of the circle with centre on the $$y-$$axis and passing through the origin and the point $$(2,3)$$ is

The graph of curve 
$${x^2} + {y^2} - 8x - 8y + 32 = 0$$ falls wholly in the

$$(a, c)$$ and $$(b, c)$$ are the centres of two circles whose radical axis is the y-axis. If the radius of first circle is $$r$$ then the diameter of the other circle is 

If $$(4,3)$$ and $$(-12,-1)$$ are end points of a diameter of a circle, then the equation of the circle is-

if the lines $$ 3x-4y-7=0$$ and $$2x-3y-5=0$$ are two diameter of a circle of area $$49\pi$$ square units the equation of the circle is