From a point on the axis of x common tangents are drawn to the parabola y^(2)=4x and the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1(agtbgt0)`. If these tangents from an equilateral trianlge with their chord of contact w.r.t parabola, then set of exhaustive values of a is

From a point on the axis of x common tangents are drawn to the parabola the ellipse y^(2) =4x and the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1(agtbgt0) . If these tangents from an equilateral trianlge with their chord of contact w.r.t parabola, then set of exhaustive values of a is

The equation of the common tangents of the parabolas y^(2)=4x and an ellipse (x^(2))/(4)+(y^(2))/(3)=1 are

If from a point A,two tangents are drawn to parabola y^(2)=4ax are normal to parabola x^(2)=4by, then

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

If from a point A, two tangents are drawn to parabola y^2 = 4ax are normal to parabola x^2 = 4by , then

From the point (-1, -6) two tangents are drawn to the parabola y^(2)= 4x . Then the angle between the tangents is-

Length of the chord of contact drawn from the point (-3,2) to the parabola y^(2)=4x is

If y=mx+4 is common tangent to parabolas y^(2)=4x and x^(2)=2by . Then value of b is

If y=mx+4 is common tangent to parabolas y^(2)=4x and x^(2)=2by . Then value of b is