Find the equation of normal to the curve `y = x^3 - 7x^2 -20x + 1` where normal is parallel to the line `x + 4y + 7 = 0`.

Find the equation of normal to the curve : y = x^3 + x^2 - 11x + 15 , where normal is parallel to the line x - 3y + 1 = 0

Find the equation of normal to the curve : y = 5x^2 - 10x + 11 , where normal is parallel to the line x - 2y + 10 = 0

Find the equations of the normal to the curve: y = x^3 + 5x^2 - 10 x + 10 , where the normal is parallel to the line x - 2y + 10 = 0

Find the equation of tangent' line to the curve y = x^2 - 2x + 7 where tangent is parallel to the line 2x - y + 9 = 0 .

Find the equation of tangent line to the curve y = x^2 - 4x + 4 where tangent is parallel to the line 4x - 4y - 8 = 0 .

Find the slope of the normal to the curve y = x^3-xat x = 2