Find the co-ordinates of that point on the curve`y^(2)=x^(2)(1-x)` at which the tangent drawn is perpendicular to X-axis.

Find the co-ordinates of that point on the curve x^(3)+y^(3)= a^(3) at which the tangent drawn is parallel to X-axis.

Find the co-ordinates of that point on the curve x^(3)+y^(3)= a^(3) at which the tangent drawn is parallel to X-axis.

The points on the curve y=x^2+sqrt(1-x^2) at which the tangent is perpendicular to x-axis are

Find the co-ordinates of that point on the curve x^(2)/a^(2)+y^(2)/b^(2) = 1 at which the tangent drawn is parallel to Y-axis.

Find the co-ordinates of that point on the curve x^(2)/a^(2)+y^(2)/b^(2) = 1 at which the tangent drawn is parallel to Y-axis.

The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpendicular to y-axis is

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

Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents are parallel to the X-axis.

Find the point on the curve y=x^(2)+1 at which the tangent drawn makes an angle of 45^(@) from X-axis.