Find the points on the curve `y=x^3`at which the slope of the tangent is equal to the y-coordinate of the point.

The point on the curve y=x^(2) , where slope of the tangent is equal to the x-coordinate of the point is :

Find the point on the curve y=x^(2)-11x+5 at which the tangent is y=x-11.

Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2

Find the 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).

Find a point on the curve y=(x-2)^(2) at which the tangent is parallel to the x-axis .

Find the point on the curve y = x^(3) – 11x + 5 at which the tangent is y = x – 11.

Find the point on the curve y = x^(3) - 11x + 5 at which the tangent is y = x - 11.

Find the point on the curve y=x^(3)-3x at which tangent is parallel to 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).

Find the equation of a curve passing through the point (0, -2) given that at any point (x,y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.