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

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

Find the maximum area of circle which touches the parabolas y=x^2+1 and y=x^2-1 (i) ((9pi)/16) sq.unit (ii) ((9pi)/32) sq.unit (iii) ((9pi)/8) sq.unit (iv) ((9pi)/4) sq.unit

If the line 2x+3y+k=0 touches the parabola x^(2)=108y then k =

The slope of the line touching the parabolas y^2=4x and x^2=-32y is

The equation to the line touching both the parabolas y^(2)=4x and x^(2)=-32y 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 :

Equation of the circle of minimum radius which touches both the parabolas y=x^(2)+2x+4 and x-y^(2)+2y+4 is