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)`

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

If the circle (x-6)^(2)+y^(2)=r^(2) and the parabola y^(2)=4x have maximum number of common chords, then the least integral value of r is __________ .

The number of common chords of the parabola y=x^(2)-x and x=y^(2)-y is

Let y^(2)=4ax be a parabola and x^(2)-y^(2)=a^(2) be a hyperbola. Then number of common tangents is

Number of common chords of the parabolas x=y^(2)-6y+9 and y=x^(2)-6x+9 are

Length of the common chord of the parabola y^(2)=8x and the circle x^(2)+y^(2)-2x-4y=0 is :

A straight line x=y+2 touches the circle 4(x^(2)+y^(2))=r^(2), The value of r is:

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^(2) is