AB is a fixed diameter of a circle whose center is O. From C, any point on the circle, a chord CD is drawn perpendicular to AB. Then, as C moves over a semicircle, the bisector of angle OCD cuts the circle in a point that always:
<spanclass=′latex−bold′>(A)</span>bisects the arc AB<spanclass=′latex−bold′>(B)</span>trisects the arc AB<spanclass=′latex−bold′>(C)</span>varies<spanclass=′latex−bold′>(D)</span>is as far from AB as from D<spanclass=′latex−bold′>(E)</span>is equidistant from B and C