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 equations of the tangents to the circle x^(2)+y^(2)=16 having slope -(4)/(3)

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

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

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

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

Find the equations of the tangents to the parabola y^(2)+4=4x which are equally inclined to co-ordinate axis and also find tangent at the vertex of the parabola.

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

Find the equation of the tangent with slopes 5 to the parabola y^(2)=20x , also find the coordinates of the point of contact of the tangent to the parabola.