The radius of circle touching parabola `y^2 = x` at (1, 1) and having directrix of `y^2 = x` as its normal is

The radius of the circle touching the parabola y^(2)=x at (1,1) and having the directrix of y^(2)=x as its normal is (a)(5sqrt(5))/(8) (b) (10sqrt(5))/(3) (c) (5sqrt(5))/(4) (d) none of these

Let the radius of the circle touching the parabola y^(2)=x at (1, 1) and having the directrix of y^(2)=x at (1, 1) and having the directrix of y^(2)=x as its normal is equal to ksqrt5 units, then k is equal to

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

The equation of a circle which touches the line y = x at (1 , 1) and having y = x -3 as a normal, is

The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and having radius 13 is/are

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

The radius of the circle touching the line x+y=4" at "(1, 3) and intersecting x^(2)+y^(2)=4 orthogonally 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 equation of the circle touching the lines |y| = x and having radius sqrt(2) is :