The figure shows two lines: One line is the secant line between the origin and a point P on the parabola y = x2 The second line is the perpendicular bisector to the line segment OP. The perpendicular bisector, RQ, will always intersect OP at the midpoint between O and P, hence the name bisector. The point Q is where RQ intersects the y-axis. As Papproaches the origin, along the parabola, the point Q will "slide" along the y-axis. What is the limiting position for the point Q? y = x? R

The figure shows two lines: One line is the secant line between the origin and a point P on the parabola y = x^2 The second line is the perpendicular bisector to the line segment OP. The perpendicular bisector, RQ, will always intersect OP at the midpoint between O and P, hence the name bisector. The point Q is where RQ intersects the y-axis. As P approaches the origin, along the parabola, the point Q will “slide” along the y-axis. What is the limiting position for the point Q?