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join the OA and OB
now,
triangle OAP and triangle OPB
OA=OB
OP=OP
AP=PB ...(given)
triangle PAO congruent triangle OPB
<OPA=<OPB...(CPCT)
<OPA+<OPB=180
=<OPA+<OPA=180
=2<OPA =180
=<OPA=90
proved,OP is perpendicular to AB
now,
triangle OAP and triangle OPB
OA=OB
OP=OP
AP=PB ...(given)
triangle PAO congruent triangle OPB
<OPA=<OPB...(CPCT)
<OPA+<OPB=180
=<OPA+<OPA=180
=2<OPA =180
=<OPA=90
proved,OP is perpendicular to AB
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