Find the equation of tangents of the parabola `y^2=12 x ,` which passes through the point (2, 5).

Find the equation of the tangent to the parabola 9x^2+12 x+18 y-14=0 which passes through the point (0, 1).

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).

Find the equation of tangent to the hyperbola y=(x+9)/(x+5) which passes through (0, 0) origin

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

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

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

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

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 y^2=8x having slope 2 and also find the point of contact.

Find the equations of the tangent and normal to the parabola y^(2) = 4ax at the point (at^(2) , 2at).