Equation of common tangents

Equation of common tangent of parabola y ^(2) = 8x and x ^(2) + y =0 is

Equation of common tangent of y=x^(2),y=-x^(2)+4x-4 is

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

Equation of common tangent of 9x^(2)+16y^(2)=144,y^(2)-x+4=0 and x^(2)+y^(2)-12x+32=0 is

" Equation of common tangent of "9x^(2)+16y^(2)=144,y^(2)-x+4=0" and "x^(2)+y^(2)-12x+32=0" is "

The equation of common tangent(s) to the parabola y^(2)=16x and the circle x^(2)+y^(2)=8 is/are x+y+4=0( b) x+y-4=0x-y-4=0( d )x-y+4=0

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 common tangent to the curve y^2=4x and xy=-1 is

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

The equation of common tangent to the parabola's y^(2)=32x and x^(2)=108y is