Find the point on the curve` y= 4x - x^2` where the tangent is parallel to-the X-axis.

Find the points on the curve y^2 = x^2 (a - x) where the tangent is perpendicular to the X-axis

Find a point on the curve y=(x-2)^(2) , at which the tangent is parallel to the chord joining the points (2,0) and (4,4).

Show that the tangent at no point on the curve y= x^3 + 3x can be parallel to the X-axis.

Find the point on the curve y = 2x^2 at which the slope of the tangent is 6.

Find the points on the curve y = x^3 + 2x^2 - 3x + 1 , the tangents at which is parallel to the line 4x-y=3

Using LMV theorem find a point on the parabola y = (x-3)^2 . Where tangents is parallel to the chord joining (3, 0), (5, 4).

Find the point on the curve y^2 = 4x at which the tangent makes an angle (pi/3)^c with the positive .Xÿaxis

Find the point on the curve y= 3x^2 - 2x +1 , at which the slope of the tangent is 4.