Find the radius of the largest circle, which passes through the focus of the parabola `y^2=4(x+y)` and is also contained in it.

The focus of the parabola y^2 = 20 x is

The focus of the parabola x^2 -2x +8y + 17=0 is :

The focus of the parabola 4y^2 + 12x - 12y + 39 = 0 is

Find the area of the circle 4x^(2) + 4y^(2) = 9 which is interior of the parabola x^(2) = 4y .

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a

Find the equation of the circle which passes through the point (2,-2), and (3,4) and whose centre lies on the line x+y=2 .

Find the area of the circle x^2+y^2=16 which is exterior to the parabola y^2=6x by using integration.

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).

The radius of the circle passing through the point (6,2) two of whose diameter are x+y =6 and x + 2y =4 is

Find the equation of the smallest circle passing through the intersection of the line x+y=1 and the circle x^2+y^2=9