Conic Sections ...

The centre of the circle given by $$\mathbf { r } \cdot ( \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k } ) = 15 \text { and } | \mathbf { r } - ( \mathbf { j } + 2 \mathbf { k } ) | = 4 ,$$

The equation $${ x }^{ 2 }+{ y }^{ 2 }=9$$ meets x-axis at 

Which is not represented by quadratic equation ?

Find the area of $$x^2+y^2=49$$

If the  the hyperbola $$\frac { { x }^{ 2 } }{ 4 } -\frac { { y }^{ 2 } }{ { b }^{ 2 } } =1$$ passses though $$(4,3)$$

Radius of the circle $$2x^2+2y^2+8x+4y-3=0$$ is

The equation $$\dfrac {x^{2}}{2-r}+\dfrac {y^{2}}{r-5}+1=0$$ represents an ellipse, if

Find the value of a if $$y^2=4ax $$ pases through $$(8,8)$$

Find the Center of circle $$x^2+y^2-4x-8x+25=0$$

The equation of the circle passing through $$(2,0)$$ and $$(0,4)$$ and having the minimum radius is ______________.