Find a point on the graph of the curve `y=(x-3)^(2)`, where the tangent is parallel to the chord joining (3,0) and (4,1)

The point on the curve y=(x-3)^(2) , where the tangent is parallel to the chord joining (3, 0) and (4, 1) is :

Find a point on the curve y= (x-3)^(2) , where the tangent is parallel to the chord joining the points (3,0) and (4,1).

Find a point on the parabola y = (x -3)^(2) , where the tangent is parallel to the chord joining (3, 0) and (4, 1)

Find a point on the curve y=x^(2)+x, where the tangent is parallel to the chord joining (0,0) and (1,2).

Find a point on the curve y = x^2 where the tangent is parallel to the chord joining (0,0) and (1,1)

Find a point on the curve y=x^2+x , where the tangent is parallel to the chord joining (0,0) and (1,2).

Find a point on the curve f(x)= (x-3)^2 , where the tangent is parallel to the chord joining the points (3, 0) and (4, 1).