Question 39
(ROM) In a plane, a circle with center $O$ and radius $R$ and two points $A,B$ are given.
(a) Draw a chord $CD$ parallel to $AB$ so that $AC$ and $BD$ intersect at a point $P$ on the circle.
(b) Prove that there are two possible positions of point $P$, say $P_1,P_2$, and find the distance between them if $OA=a$, $OB=b$, $AB=d$.
(a) Draw a chord $CD$ parallel to $AB$ so that $AC$ and $BD$ intersect at a point $P$ on the circle.
(b) Prove that there are two possible positions of point $P$, say $P_1,P_2$, and find the distance between them if $OA=a$, $OB=b$, $AB=d$.