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

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

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

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 tangents drawn to the parabola y=x^(2)-3x+2 from the point (1,-1)

Find the equation of the tangent to the parabola 3y^(2)=8x, parallel to the line x-3y= 5.

Find the equation of the tangent and normal to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

Equation of tangent to the parabola y^(2)=16x at P(3,6) is

Find the equation of the tangent to the curve y=(x^(3)-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.