Conic Sections ...

The point (3,4) is the focus and $$2x-3y+5=0$$ is the directrix of a parabola .Its latus rectum is 

The circle with radius $$1$$ and centre being foot of the perpendicular from $$(5, 4)$$ on y-axis, is?

Equation of the circle with centre on y-axis and passing through the points $$(1,0),(1,1)$$ is:

Centres 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 centres of the circles are:

The radius of the circle centred at $$(4,5)$$ and passing through the centre of the circle $${x}^{2}+{y}^{2}+4x+6y-12=0$$ is

The centre of the circle $$x^2+y^2+10x-20y+100=0$$ is 

which of the following equations represents a parabola 

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

Find the equation of the circle : 
Centered at $$(3,-2)$$ with radius $$4$$. 

Centre of circle whose normal's are $$x^{2}-2xy-3x+6y=0$$, is