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 the tangents to the curve y = (x +1)/(x -1) which are parallel to the line x + 2y = 6

Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.

Find the equations of the tangents to the curve y=(x+1)/(x-1) which are parallel to the line x + 2y = 6.

The equation of the normal to the circle x^(2) + y^(2) -2x- 2y + 1=0 which is parallel to the lines 2x + 4y =3 is

Equation of the normal to the curve y=2x^(2)+3sinx at x = 0 is

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find the equation of the tangent to the curve x^(2) + y^(2) = 5^(2) which are parallel to 2x + 3y =6

Find the equation of tangent and normal to the curve y = x^(2) + 3x + 2 at (0, 2)