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

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

Find the equation of the normals to the curve y = x^(3) + 2x + 6 which are parallel to the line x + 14y + 4 = 0.

Find the equations of tangent and normal to the curve y=x^(2) - 2x -3 at the point (2, 3)

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 curve whose slope is (y-1)/(x^(2)+x) and which passes through the point (1,0).

Find the equation of chord of the circle x^(2)+y^(2)-2x-4y-4=0 passing through the point (2,3) which has shortest length.

Find the equations of tangent and normal to the curve y=x^(2)+3x-2 at the point (1, 2). .

Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3) .