AB is a diameter of a circle C ( O, r) . Chord CD is equal to radius DC. If AC and BD
when produced intersect at P. Show that < APB = constant.
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Step-by-step explanation:
In△OCD
OC=OB=CD
∴∠COD=60(Anglesofequilateraltriangle)
AS∠CAD=
2
1
∠COD=
2
1
×60=30
Now∠ADP=∠ADB=90(Angleinsemicircle)
In△ADP
∠ADP+∠DPA+∠DAP=180
⇒90+∠DPA+30=180
⇒∠DPA=180−120=60=∠APB
Hence option (c) is right
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Answer:
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