The radius of circle, touching the parabola `y^(2)=8x` at (2, 4) and passing through (0, 4), is

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Radius of the circle touching the parabola y^2=4x at the point P and passing through its focus is

The radius of the circle, which touches the parabola y^2 = 4x at (1,2) and passes through the origin is:

The equation of the circle, which touches the parabola y^2=4x at (1,2) and passes through the origin is :

The radius of a circle passing through origin and touching the parabola y^(2)=8x at (2,4) is r ,then r^(2) is equal to

Equation of a circle which touches the parabola y^(2)-4x+8=0, at (3,2) and passes through its focus is

The equation of circle touching the line 2x+3y+1=0 at the point (1,-1) and passing through the focus of the parabola y^2=4x is

The radius of circle which passes through the focus of parabola x^(2)=4y and touches it at point (6,9) is k sqrt(10), then k=

The focus of the parabola y^(2)-4y-8x+4=0 is,

A circle touches the parabola y^(2)=4x at (1,2) and also touches its directrix.The y- coordinates of the point of contact of the circle and the directrix is-

Equation of the smaller circle that touches the circle x^(2)+y^(2)=1 and passes through the point (4,3) is