Equation of Common Tangent

Find the equations of common tangents to the hyperbola 3x^(2)-4y^(2)=12 and the parabola y^(2)=4x

The equations of two curves are y^2=2x and x^2 =16y (A) The angle of intersection of these curves is (pi)/2 (B) The angle of intersection of these curves is tan(3/5) (C) The equation of common tangent to these curve is x +2y +2 =0 (D) The equation of common tangent to these curves is x+ 2y- 2= 0

Two parabola with a coomon vertex and with axes along x-axis and y-axis, respectively intersect each other in the first quadrant . If the length of the latus rectum of each parabola is 3 , then the equation of common tangent to the two parabola is

Find the coordinates of the point at which the circles x^(2)-y^(2)-4x-2y+4=0 and x^(2)+y^(2)-12x-8y+36=0 touch each other.Also,find equations of common tangents touching the circles the distinct points.

The equation of a common tangent to the curves y^(2)=8x & xy= -1 is

The equation of a common tangent tangent to the curves, y^(2)=16x and xy= -4, is

The equation of a common tangent to the parabola y=2x and the circle x^(2)+y^(2)+4x=0 is