Find the equation of the common tangent of `y^2=4a x` and `x^2=4a ydot`

Find the equation of the common tangent to the parabolas y^(2)=32x and x^(2)=4y

The equation of the common tangent to parabola y^(2)=4x and x^(=)4y is x+y+(k)/(sqrt(3))=0, then k is equal to

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

The equations of the common'tangents to y^(2)=4x and 3x^(2)-4y^(2)=12 are

The equation of the common tangent to the parabolas y^(2)=4ax and x^(2)=4by is given by

The equation of a common tangent of the parabolas y^(2)=4ax and x^(2)=4by is

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

Find the equations of the common tangents to the circle x^(2)+y^(2)=8 and the parabola y^(2)=16x