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## Answers

so,

**PX=QX.**....(1)

**PY=QY**....(2)

since,P,Q,X n Y are collinear,

**PX+QX=PQ and PY+QY=PQ**

So,PX+QX=PY+QY

or,2PX=2PY

or,

**PX=PY**....(3)

now,statement (3) is a contradiction until X and Y coincide

Hence,it can be concluded,that a line segment can have only 1 mid-pt.