[y(x-2)(x-3)+7=x" at the point,where the curve intersects "],[" the "x" -axis "]

Find the equation of the tangent and normal to each of the following curves at the specified points : y(x-2)(x-3)+7=x and the point, the where curve intersect the x-axis.

Show that the line x/a + y/b = 1 touches the curve y = be^(x//a) at the point where the curve intersect the axis of y.

If the lines x + y =a and x - y = b touch the curves y = x^2 -3 x + 2 at points where the curve intersects the x - axis then a/b is equal to ______.

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

The slopes of the tangents at the points where the curve y=x^(2)-4x intersects the x -axis is

If lines T_(1) and T_(2) touch the curve y=x^(2)-3x+2 at the points where the curve meets the X- axis, then

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