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 equation of tangent line to the curve y = x^2 + 6x + 7 where tangent is parallel to the line 8x - 2y + 1 = 0 .

Find the equation of the tangent to the curve: y = x^2 - 2x + 9 , which is parallel to the line: 2x + y + 7 = 0

Find the equation of normal to the curve, y = .x^3 at the point (1,1).