Find the slopes of the tangents to the parabola `y^2=8x` which are normal to the circle `x^2+y^2+6x+8y-24=0.`

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

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

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

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

Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 which are parallel to the straight line 4x+3y+5=0

The vertex of the parabola x^(2)=8y-1 is :