Circle with center (2,3) passes through origin . P , Q are two points on the circle such that OC is perpendicular to both CP and CQ then find the point P and Q

Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is perpendicular to both the line segments CP and CQ, then the set {P,Q} is equal to

if p(-3,2) and Q(2,5) are two points,find the slope of the line perpendicular to pQ

P, Q are the points on the circle. The part of the circle, PQ is called ________ of the circle.

In Figure,P, is any point on the chord BC of a circle such that AB=AP. Prove that CP=CQ.

Perpendiculars are drawn,respectively,from the points P and Q to the chords of contact of the points Q and P with respect to a circle. Prove that the ratio of the length of perpendiculars is equal to the ratio of the distances of the points P and Q from the center of the circles.