Find the equation of normal to the curve `y(x-2)(x-3)-x+7=0` at that point at which the curve meets X-axis.

Find the equations of tangent and normal to the curve y(x-2)(x-3)-x+7=0 at the point where it meets the x-axis.

Find the equation of normal of the curve 2y= 7x - 5x^(2) at those points at which the curve intersects the line x = y.

Find the equation of normal of the curve 2y= 7x - 5x^(2) at those points at which the curve intersects the line x = y.

Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x+7=0 at the point where it cuts the x-axis.

Find the equation of normal to the curve x = at^(2), y=2at at point 't'.

Find the equation of normal to the curve x = at^(2), y=2at at point 't'.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.