The minimum area of circle which touches the parabolas `y=x^(2)+1andy^(2)=x-1` is

Minimum area of the circle which touches the parabola y=x^(2)+1 and y^(2)=x-1 is (k pi)/(32) then k=

Equation of the circle of minimum radius which touches both the parabolas y=x^(2)+2x+4 and x-y^(2)+2y+4 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 locus of centre of circle which touches the circle x^(2)+y^(2)=1 and y- axis in 1 st quadrant is

Let y^(2)=4x is a parabola.Then minimum area of a circle touching parabola at (1,2) as well as x- axis is

The equation of one of the circles which touch the pair of lines x^(2)-y^(2)+2y-1=0 is

The radius of a circle, having minimum area, which touches the curve y=4-x^(2) and the lines y=|x|, is