Find the equation of the tangent to the parabola `y^2=8x` having slope 2 and also find the point of contact.

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equation of the tangent at t =2 to the parabola y^(2) = 8x .

Find the equation of the tangent to the parabola y=x^2-2x+3 at point (2, 3).

The equation of the directrix of the parabola y^(2)=-8x is

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

Find the equations of the tangent and normal to the parabola y^(2)=8x at t=1/2

Find the equations of the tangent: to the parabola y^(2)=16x , parallel to 3x-2y+5=0

Find the equation of the chord of the parabola y^(2)=8x having slope 2 if midpoint of the chord lies on the line x=4.

Find the equation of the common tangent to the curves y^2=8x and xy=-1.

Find the equation of normal to the hyperbola 3x^2-y^2=1 having slope 1/3dot