The parabola `y^2 = 4x` and the circle `(x-6)^2 + y^2 = r^2` will have no common tangent if r is equal to

The common tangent of the parabola y^(2) = 8ax and the circle x^(2) + y^(2) = 2a^(2) is

Show that the common tangents to the parabola y^(2)=4x and the circle x^(2)+y^(2)+2x=0 form an equilateral triangle.

The equation of the common tangent touching the parabola y^2 = 4x and the circle ( x - 3)^2 +y^2 = 9 above the x-axis is

If the parabola x^(2)=4y and the cilcle x^(2)+(y-7)^(2)=r^(2) have maxiumum number of common chords , then least value of r is (sqrt6=2.45)

If m is the slope of a common tangent of the parabola y^(2)=16x and the circle x^(2)+y^(2)=8 , then m^(2) is equal to

If the normals of the parabola y^(2)=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^(2)+(y+2)^(2)=r^(2) , then the value of r^(4) is equal to

If the normals of the parabola y^(2)=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^(2)+(y+2)^(2)=r^(2) , then the value of r^(4) is equal to

If common tangent to parabola y^2=4x and x^2=4y also touches the circle x^2+y^2=c^2 , then find the value of C.

Equation of common tangent to parabola y^2 = 2x and circle x^2 + y^2 + 4x = 0

If the common tangents to the parabola,x^(2)=4y and the circle,x^(2)+y^(2)=4 intersectat the point P, then the distance of P from theorigin,is.