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Indian RMO - Paper -4[1]

Source:

December 12, 2013

geometry

Problem Statement

Let

CD

be a circle with centre

O

. Let

\gamma

be another circle passing through

O

and intersecting

\omega

at points

A

and

B

.

A

diameter

CD

of

\omega

intersects

\gamma

at a point

P

different from

O

. Prove that

\angle APC= \angle BPD

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