Equation of common tangent to parabola `y^2 = 2x` and circle `x^2 + y^2 + 4x = 0`

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

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

The equation of common tangent to Parabola y ^2 = 8x and y = - x ^ 2 is :

The equation of common tangent to the parabola y^2 =8x and hyperbola 3x^2 -y^2=3 is

Equation of a common tangent to the parabola y^(2)=4x and the hyperbola xy=2 is

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

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

The equation of the common tangent to the parabolas y^(2)=2x and x^(2)=16y is

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

Statement I the equation of the common tangent to the parabolas y^2=4x and x^2=4y is x+y+1=0 . Statement II Both the parabolas are reflected to each other about the line y=x .